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#🤔 Unknown Facts
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![🤔 Unknown Facts - Determinants For every square matrix A = [ai] of order n; we can associate a number called determinant of square matrix Itis denoted by AI det(A) Evaluating Determinants १) Order One (2) Order Two: A=[a] a11 a17 A= |A|=|a| a21 ೩22 ` a11 812 |4| =a11 ೩22 ೩12 ೩21 ` (3) Order Three: ೩21 ೩22' a11 ১13 d12 A= ১৯1 ೩22` ೩23 0 ১31 ೩32 d33 a11 ১12 313 ೩22 a21 ೩21 ` a23 03 ೩22 |4|= d12 + d13 821 872 ೩23 a11 832 d31 a31 ` ೩13 831 ೩12 ১31 012 ೩13 Properties Of Determinants (1) Property 1: Interchanging rows with columns (2) Property 2: Interchanging any wo TOWSI columns b2 (3) Property 3: When any [wo rowsl columns are equal b2 b 0 b2 b Determinants For every square matrix A = [ai] of order n; we can associate a number called determinant of square matrix Itis denoted by AI det(A) Evaluating Determinants १) Order One (2) Order Two: A=[a] a11 a17 A= |A|=|a| a21 ೩22 ` a11 812 |4| =a11 ೩22 ೩12 ೩21 ` (3) Order Three: ೩21 ೩22' a11 ১13 d12 A= ১৯1 ೩22` ೩23 0 ১31 ೩32 d33 a11 ১12 313 ೩22 a21 ೩21 ` a23 03 ೩22 |4|= d12 + d13 821 872 ೩23 a11 832 d31 a31 ` ೩13 831 ೩12 ১31 012 ೩13 Properties Of Determinants (1) Property 1: Interchanging rows with columns (2) Property 2: Interchanging any wo TOWSI columns b2 (3) Property 3: When any [wo rowsl columns are equal b2 b 0 b2 b - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_187744_39e588b8_1769354111180_sc.jpg?tenant=sc&referrer=pwa-sharechat-service&f=180_sc.jpg "🤔 Unknown Facts - Determinants For every square matrix A = [ai] of order n; we can associate a number called determinant of square matrix Itis denoted by AI det(A) Evaluating Determinants १) Order One (2) Order Two: A=[a] a11 a17 A= |A|=|a| a21 ೩22 ` a11 812 |4| =a11 ೩22 ೩12 ೩21 ` (3) Order Three: ೩21 ೩22' a11 ১13 d12 A= ১৯1 ೩22` ೩23 0 ১31 ೩32 d33 a11 ১12 313 ೩22 a21 ೩21 ` a23 03 ೩22 |4|= d12 + d13 821 872 ೩23 a11 832 d31 a31 ` ೩13 831 ೩12 ১31 012 ೩13 Properties Of Determinants (1) Property 1: Interchanging rows with columns (2) Property 2: Interchanging any wo TOWSI columns b2 (3) Property 3: When any [wo rowsl columns are equal b2 b 0 b2 b Determinants For every square matrix A = [ai] of order n; we can associate a number called determinant of square matrix Itis denoted by AI det(A) Evaluating Determinants १) Order One (2) Order Two: A=[a] a11 a17 A= |A|=|a| a21 ೩22 ` a11 812 |4| =a11 ೩22 ೩12 ೩21 ` (3) Order Three: ೩21 ೩22' a11 ১13 d12 A= ১৯1 ೩22` ೩23 0 ১31 ೩32 d33 a11 ১12 313 ೩22 a21 ೩21 ` a23 03 ೩22 |4|= d12 + d13 821 872 ೩23 a11 832 d31 a31 ` ೩13 831 ೩12 ১31 012 ೩13 Properties Of Determinants (1) Property 1: Interchanging rows with columns (2) Property 2: Interchanging any wo TOWSI columns b2 (3) Property 3: When any [wo rowsl columns are equal b2 b 0 b2 b - ShareChat")