{"id":7142,"date":"2022-03-21T14:54:23","date_gmt":"2022-03-21T09:24:23","guid":{"rendered":"https:\/\/www.goseeko.com\/blog\/?p=7142"},"modified":"2022-03-21T14:54:27","modified_gmt":"2022-03-21T09:24:27","slug":"what-is-determinant-of-a-matrix","status":"publish","type":"post","link":"https:\/\/www.goseeko.com\/blog\/what-is-determinant-of-a-matrix\/","title":{"rendered":"What is determinant of a matrix?"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Introduction<\/h2>\n\n\n\n<p>The <a href=\"https:\/\/www.mathsisfun.com\/algebra\/matrix-determinant.html\" target=\"_blank\" rel=\"noreferrer noopener\">determinant <\/a>of a matrix is a number that associated with the square matrix. This number may be positive, negative or zero.<\/p>\n\n\n\n<p>The determinant of the matrix A is denoted by det A or |A| or D<\/p>\n\n\n\n<p>For 2 by 2 matrix-<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/UBdphTRTMXQpsLfRed5xqVcDOWiRjSx_8ibOp4okeYJcHLj1yJIM7EipsCPcVF2HnnQXtZ26vP-DXXqKz_rDBlFl_9n0j12KE-S10hRw8acb4etFrpHx99_JztNCoZ1P9BXSj2yA\" alt=\"\" \/><\/figure>\n\n\n\n<p>Determinant will be<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/cvNNWih1gO1JHied1GZaoJsKfdTu-SboEdTbC0RR6aKosg65TI-biz6YFzERkv--HxSjBjOUpmCqQPXL1MVhn9RIO1yJ95SX08ijSagxFn6A6uodIYM6ymqFH6e8kO1mT2ORWIoi\" alt=\"\" \/><\/figure>\n\n\n\n<p>For 3 by 3 matrix-<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/M-N_JrOyNU_mTFLCqWAmgRxfnPoKg6o88Mh1CR9EB7wPpUU6VdfRwcvRKBIPCDW-r2G290u_e5Y7RqJyYn0Qgj1hUNvH2MgAJtXxV-3v19vZ6V3fIXjjjEUh2dZR99clrE0uEx-a\" alt=\"\" \/><\/figure>\n\n\n\n<p>Determinant will be<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/dZDaKQAyiLa65axiSWbnHZsc81_ugNYAiXsY5CxzQ41Bzw4xFE1p1P31tEDMg_CqqIowRZuvLgWOLbu5u98Gnow9RZtbz1uMmkyVyQ44wmeP0JxM9Ji4CIGdNMeNqM1noJ09-zCR\" alt=\"\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Solved examples<\/h2>\n\n\n\n<p><strong>Example: If  then find |A|.<\/strong><\/p>\n\n\n\n<p>Sol.<\/p>\n\n\n\n<p>Sol.<\/p>\n\n\n\n<p>As we know that-<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/gHfOf8Z6sbocYf3mp3eEuNMY4vMFQIHYtD-_cHeSVQ89RoFOHIVUAd8G4I54cXJh30ITUAGo0WoWOvFro1eyN3dJzAL2J98EuJRTnBatN5lAQ68wm9ajGA0AbEFVXJv_vte0yTC2\" alt=\"\" \/><\/figure>\n\n\n\n<p>Then<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/NGLd_pDdbYhyyy1krrevYrqyTH5JbuuBQ2IeK668Rykq86YxcYjZDGlJrmqe82IMa452GXq2BGN1IT1NtjRYhRTsh6bIT5FqxzjAeUBMJY0PK8VzEG3VrwVsmVzrDvQKVggyaONJ\" alt=\"\" \/><\/figure>\n\n\n\n<p><strong>Example: Find out the determinant of the following matrix A.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/lrDCde3IuOOBcq0zd-DgAhzlHTLN64mPS-BBT2adR8Fpm-n9IviSy6nwWPgeQ-fjZ94eI1Y1HHurcdCfm1mRVLhu4K48Cx4zrHvU5aiXG7G-En6XogdPxaTFpesn1qZVgkIIH05L\" alt=\"\" \/><\/figure>\n\n\n\n<p>Sol.<\/p>\n\n\n\n<p>By the rule of determinants-<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/1Y-sVAf-xz3L3AisVriEo7YWu8q3qzZwozTRvYRWfoKPPvZow18AJ22Knk5SrvDqUuThyz936OOHwHAybkcF7OL3T3rgnn7z-thfmnMnkQyPVVDOubSLPepx7Pga8fHtonPeI5P5\" alt=\"\" \/><\/figure>\n\n\n\n<p><strong>Example: expand the determinant:&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/xMol3HjaCPWEZg_SEV6latdhKTCgZdr6smD24vyXXpH8V5ydDoykuFLR7CiEy_OqzSZFdQ9JR31ymkV7oGkK4959WyveagkiE9CFxGGq9adrVZhLJB-ePV9hRl7PMrqH4hTK1brD\" alt=\"\" \/><\/figure>\n\n\n\n<p>Sol. As we know&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/-jEPB-BJNynfub5x7pi1xDqXg19xd8bPLK7rgK9fu75_Nv0_oKZq1WL5UMHNuSZvt7cEobuvF-KSpCEP6k2rag_LdhdozInMyk26XXnqKDJ_ORW-hQYHJogo3V211mhJRhNAzmk-\" alt=\"\" \/><\/figure>\n\n\n\n<p>Then<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/AsGD3n9xHdlwrdP9SgcxfUpSbnmT-eguN9xQbzmibO69YKS3hdCJ7AyW_uoX54pRLU3mW9KKV9FBCa0q4-b8i0M1kZ4KOYzzVuqF54MAPB80wCqWWRhksTXaMOxfpnwDHcsgxfrj\" alt=\"\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Minor<\/strong><\/h2>\n\n\n\n<p>The minor of an element is define as determinant obtained by deleting the row and column containing the element.<\/p>\n\n\n\n<p>In a determinant,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/mwugSAsqEuyF7VpJtaTYL0BWf-zV1evWLNW0wO-lDZabxXK0qD_4vjHC5XpacJbdwI51JhjrouVNDysFKYRdmhU80hXWHxuD4QRX9vYsMYz_sgEn4jJOItftq2bpl097AWwBImsI\" alt=\"\" \/><\/figure>\n\n\n\n<p>The minor of a1, b1 and c1 are given by<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/8WlYvA4xQjncYTEy8ETo0cRw2T5I4x5JrNBDwTgEHvfTWAyRO8gqHIzAPRZxA5G8Y3FUSYUyYbI54jLxG0UXwxvTJv4gAt8WtafO9AcNAr9lW70c0x-OUhtRKBOrQHsDBSaPQ7uB\" alt=\"\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Cofactor <\/h2>\n\n\n\n<p>Cofactors can be defined as follows,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/vKX8nWQNAZFHqeH2L3eH8mqoHVML2OJVnDvK-kADteFJfPio-nBeatBpxvyDRvCG8rpkURuVRJ3nwx4qUZwQZhpMCZDyoX-kpkBLmUX3zKvin3M4mc4r66QzBMeh-54Cqo9bc8h5\" alt=\"\" \/><\/figure>\n\n\n\n<p>Where r is the number of rows and c is the number of columns.<\/p>\n\n\n\n<p><strong>Example: Find the minors and cofactors of the first row of the determinant.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/wZcMvYbNQjd8r6U-no-gjUsSQToUCOlt7qS_diBYaOs3ojGnWo8fjyYLEXdoc1TpWTL2f10dzRLm0YmSSE6Jo3XnfIvhBPHDs71XvF8aRVgV7JJiM3TOK6ziGn4Cyc65nN1D30KD\" alt=\"\" \/><\/figure>\n\n\n\n<p>Sol.&nbsp; (1)&nbsp; The minor of element 2 will be,<\/p>\n\n\n\n<p>Delete the corresponding row and column of element 2,<\/p>\n\n\n\n<p>We get,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/mDw1mRUwrxplSOhUlz9QGYe7GPxeEYSerVZxHfJzrU3cI2GpbAfAoStJ4hJsrHORJsShpHichRgW1XtXLLim5H7_tTMiCaakY0hAMg-G3iYHBSrLMzoKRy0nSSj_7oSB3t8sdSDl\" alt=\"\" \/><\/figure>\n\n\n\n<p>Which is equivalent to, 1 \u00d7 7 &#8211; 0 \u00d7 2 = 7 \u2013 0 = 7<\/p>\n\n\n\n<p>Similarly the minor of element 3 will be,&nbsp;&nbsp;<\/p>\n\n\n\n<p>4\u00d7 7 &#8211; 0\u00d7 6 = 28 \u2013 0 = 28<\/p>\n\n\n\n<p>Minor of element 5,&nbsp;&nbsp;<\/p>\n\n\n\n<p>4 \u00d7 2 &#8211; 1\u00d7 6 = 8 \u2013 6 = 2<\/p>\n\n\n\n<p>The cofactors of 2, 3 and 5 will be,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/gW8r9PSgUAJn4XLjQqbigXmFMpQ1-qfcjAOgSh-zgCDw0EaGbQ6kidhvSZYbY0z4yTGz8DLiwQOo1w5ji8xLSg-tWUv9bWJHGSfQtAnxzFut5vXOXm9XPgyC0Yjkzpj0dLSFcQF4\" alt=\"\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Properties of determinants<\/strong><\/h2>\n\n\n\n<p>(1) If the rows are interchanged into columns or columns into rows then the value of determinants does not change.<\/p>\n\n\n\n<p>Let us consider the following determinant:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/EKWwjGS_ui7S3NnpnuKJvaA56gXSHQwxXVIKiFnHPZEDVzwCtthq7_HOfbBOWxWFuiN4eq3oGY3WhW4Z2-khaUENCRkhMfGJh10K0g5hi7neXahZAZ_wnrwpE6lPXzsEfjCTPUlX\" alt=\"\" \/><\/figure>\n\n\n\n<p>(2) The sign of the value of determinant changes when two rows or two columns are interchanged.<\/p>\n\n\n\n<p>Interchange the first two rows of the following, we get<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/lxhDBVe0Cmr3vqrJuPn61_hIQEN8avH8Y9yv8vjoU8rScLj-M9nDKcn4NMSjCb01IcgwxJocW2qm7ZBgWTBJz_oQF_TFhPeR2gIKXXfTXUJ-bIXk63OZndLISA-T_jjoTuJ33Qdq\" alt=\"\" \/><\/figure>\n\n\n\n<p>(3) If two rows or two columns are identical the the value of determinant will be zero.<\/p>\n\n\n\n<p>Let, the determinant has first two identical rows,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/CnpFrUs_MqjqnNoi5pnju3AivGFCaS6hHqT1Mz_QBE1URwaVqk1HhJApi1FU1gP99Nj56A9ADEu74ZrAcBtslmiFi2DF3oPr3NSlXIXpB3ou1RYhk_S51yWEkuD9k92iNZ3ZvZej\" alt=\"\" \/><\/figure>\n\n\n\n<p>As we know that if we interchange the first two rows then the sign of the value of the determinant will be changed, so that<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/wPaI1dz-IpTikFylVWUT6dpikYUHEL35wnfkIyC7MSD7WBrD_bB7brwLlex3t2xR0KWuhX6oc9m3z8BlrnDDEPFCblyJeQDMSNEmcuTkujse8HnCMxv1JHcWmZ0M5VIOORdMb3qK\" width=\"299\" height=\"116\">hence proved.<\/p>\n\n\n\n<p>(4) if the element of any row of a determinant be each multiplied by the same number then the determinant multiplied by the same number,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/y77kQ0yAvzGH4vTlZCPPWHoicRRK6iVthp0ohMiy-gAe5BhZBgNrxqClJxT_NNIOIS3udcJRxDJgB_pkSQ57TMJ7-5JKFDvxmZLuJHaglN_6tJC3nQfHUecxY_czQsX8NsNB2cKY\" alt=\"\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/FkThh4Llfbrmt6kHxzkACw53h7EWdnhZa7bAyWukUj4CI3EbdIevX8lmiw6WyZab-k59OcPDRRMv103EpP9MeV9c29uEqqLgwYVb-U0Qfu4ObqdKNEPWxOVi6gXyVQDv-xBLBQIv\" alt=\"\" \/><\/figure>\n\n\n\n<p><strong>Example: Show that,<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/roeZcUjoPMAwxBj1dsYVlHvVR_g809MrOTQb0ObGyJaYAQDgfXx_pHNaUVT61x3lilGMuh1Rqd-RW1X56qK5Pb11M1l4aRlrOsGnSCztaqod99usPUWfsutLllBUBvb9NEouDriB\" alt=\"\" \/><\/figure>\n\n\n\n<p>Sol.&nbsp; Applying&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/N3B6dUmVGR8WxI2U36m6_y9TlYGvUiqBCJ2wvoDyjJoQo4yLQe8km6j8C_zFb9Hjr2djAFgLczDrHdUgrQkcrWH6DgKLwKJd6QVKU99EbVE1X5LPsjwFayRUylYEHQXdAdaOtKa1\" alt=\"\" \/><\/figure>\n\n\n\n<p>We get<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/5WLQLZBgyDu1gh6surkMAgUFaYbBKF3c6-JGQXq6txiYmTlz49EIs4_Mo0LVPVOm_Q9304TVsaKKOL0V7_OIQrBlojebEIlFj-VNUz648JTCh0wZF8p_pvVan8zZkdPNdQlPSs3P\" alt=\"\" \/><\/figure>\n\n\n\n<p><strong>Example: Solve-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/Pg3GX46TUgQV92Zmn7pEz0orK9y9MIb27yo8GpLs0rle5Al2sAKYP8TiZyvHVeOSKbCap_AI6i6kffBunWeRJyxBqFM6l2GdJMm1XXZqU-3U8jjI8U-ogHDg-duiPGanlSy1Fs-b\" alt=\"\" \/><\/figure>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Given<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/8p_W0Cx_GYnTovZ5HIShXhxN3-UOBHiI36coXK4VRHCT1pziNEgAjUXMHBztJIAkkmpZeau2Eh9CKk0cYn-whS-m9d-f3qYe23_MWiJfnlXstnEPmAXstu4-Z-J28hByzbK20bwj\" alt=\"\" \/><\/figure>\n\n\n\n<p>We get<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/7JiaNCtCSpC5LzIufkQxWfB9WxRQ9_SAknC5PXEwtYjOt4I16AmyEciG1JadZ1fuBtxkJH3XAF9VFQ8woHtsl_4RMxyQytlGq0e8HAVbOEQPSW6-Cwl48gZFgKwStiKoWDMZoruq\" alt=\"\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Applications of determinants<\/strong><\/h2>\n\n\n\n<p>Determinants have various applications such as finding the area and condition of collinearity.<\/p>\n\n\n\n<p><strong>Area of triangles-<\/strong><\/p>\n\n\n\n<p>Suppose the three vertices of a triangle are <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/1CnDv3Ulh8EpUoU06NccJJFjve-5hg-aoSLmGNeaDPSNkc-Xo_FGC22qx5fqTZvyH49-77EAiYiEksvG2dJTYtd78mA_N7M2jHBGoYHhTqdv5Gkcq4OKcKeppk3y1JNFhQ86bqhV\" width=\"193\" height=\"23\"> respectively, then we know that the area of the triangle is given by-<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/gb6Fw5iNVcF_iJBUN-Mo2nu-jg5rpkR1pBMJMm9mJlZ3foAzRafeQqIysOFVszzWFOVE-CwDUkauECeYq2mUOwKmd5jHK5HhA2Q4f5j9Fwfatq87vLaeLY1nqzDxiyMt94YYsZf1\" alt=\"\" \/><\/figure>\n\n\n\n<p>This is how we can find the area of the triangle.<\/p>\n\n\n\n<p><strong>Condition of collinearity-<\/strong><\/p>\n\n\n\n<p>Let there are three points <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/Xz0ePrs6E2BpBKmGxPs1OsRPcm3SDG_pLTgjpfzShppmkJldwA-yd_5x6yVp87qXxsh2-QrHPQbPVdKcczjSxQh47B0PzjPjAEp882aXVIGkEez0DKL-aInXqh1q_pZUsYQruOl5\" width=\"191\" height=\"18\"><\/p>\n\n\n\n<p>Then these three points will be collinear if &#8211;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/LmTkzIZMA8RJ715C3-MBQVstVxQRJurc21FkVyetG5N4_i4ro0o2QsEvf46WGRECbtvsS7XxJH3eFy4QOGQJ2Bq3CzG0UgU7613Jxnj3OSIwreHjYhqvKmtYAzWmGpbe6p2SV-zf\" alt=\"\" \/><\/figure>\n\n\n\n<p><strong>Example: Show that the points given below are collinear-<\/strong><\/p>\n\n\n\n<p>(11, 7), (5, 5) and (-1, 3)<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>First we need to find the area of these points and if the area is zero then we can say that these are collinear points-<\/p>\n\n\n\n<p>So that-<\/p>\n\n\n\n<p>We know that area enclosed by three points-<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/obPEBdx7bGzOYHoJ6SKB5oDJbzyxF-IBERQqAD7bH_QEq0lGAFysp-ZlpRTmwDbQjms-jFRjO4792ZCm6wt5RA4M0h8F4ertMKdbnPiqFenwYY4ozUwaBmQgcxd4WKH_-c8B7WQM\" alt=\"\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/1m6MV3lAyIonmcUnusv8qCoVdfvoAvfqHQmr0EY4K-wn0vpnTu1F5NqYt8GZ8tHjIm4RTIXOkSAY4jMuutUv40iy_O60dSA44jMFpr1vXdcHZhsJE-N_WdWn7wLon8lgtVcBBRap\" alt=\"\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/PSYGz7-oVuPysBjF2DdvmQQw_DulIW97fC_-QAcSq3_dcqWGzj-ykZUFC9TReNNRiUsR_4jlrDQ2hqZ9FUzGml57XxPIpy1Vog1DZ9r7rpUiyJwOsNhYvt86vWJQASbKnOsAu45W\" alt=\"\" \/><\/figure>\n\n\n\n<p>So that these points are collinear.<\/p>\n\n\n\n<p>Interested in learning about similar topics? Here are a few hand-picked blogs for you!<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/www.goseeko.com\/blog\/what-are-simpsons-rules-for-numerical-integration\/\" target=\"_blank\" rel=\"noreferrer noopener\">Simpson\u2019s rules<\/a><\/li><li><a href=\"https:\/\/www.goseeko.com\/blog\/what-is-a-linear-differential-equation\/\" target=\"_blank\" rel=\"noreferrer noopener\">Linear differential equations<\/a><\/li><li><a href=\"https:\/\/www.goseeko.com\/blog\/what-is-regula-falsi-method\/\" target=\"_blank\" rel=\"noreferrer noopener\">Regula-falsi method<\/a><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>The determinant of a matrix is a number that associated with the square matrix. This number may be positive, negative or zero.<\/p>\n","protected":false},"author":28,"featured_media":4799,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[31],"tags":[],"class_list":["post-7142","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-maths"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.3.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is determinant of a matrix? - Goseeko blog<\/title>\n<meta name=\"description\" content=\"The determinant of a matrix is a number that associated with the square matrix. 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