Find the minor and cofactors of all the elements of the determinants `{:[( 1,-2),(4,3)]:}`

Find minors and cofactors of the elements of the determinant {:[( 2,-3,5),( 6,0,4),( 1,5,-7)]:} and verify that a_11 A_31+ a_12A_32+a_13A_33=0

Write Minors and Cofactors of the elements of following determinants: (i) {:[( 2,-4),(0,3)]:}" (ii) " {:[( a,c),( b,d) ]:}

Find minors and cofactors of the elements a_11 ,a_21 in the determinant Delta= {:[( a_11,a_12,a_13),( a_21,a_22,a_23),( a_31,a_32,a_33) ]:}

Find the minor of elements 6 in the determinants Delta = {:[( 1,2,3),(4,5,6),(7,8,9)]:}

Evaluate the determinants. {:[( 2,4),( -5,-1) ]:}

Find the value of determinate : |{:(5,7),(2,4):}|

if A_(1) ,B_(1),C_(1) ……. are respectively the cofactors of the elements a_(1) ,b_(1),c_(1)…… of the determinant Delta = |{:(a_(1),,b_(1),,c_(1)),(a_(2),,b_(2),,c_(2)),(a_(3),,b_(3),,c_(3)):}|, Delta ne 0 then the value of |{:(B_(2),,C_(2)),(B_(3),,C_(3)):}| is equal to

Evaluate the determinant Delta = {:[(1,2,4),(-1,3,0),( 4,1,0)]:}

Find the element in second row and third column of the matrix [(1, -2, 3), (2, 1, 5)] is _____.

Let R be the realtion defined in the set A = {1,2,3,4,5,6,7} by R ={(a,b): both a and b are either odd or even}. Show that R is an equivalence relation. Further, show that all the elements of the subset {1,3,5,7} are related to each other and all the elements of the subset {2,4,6} are related to each other, but no element of the subset {1,3,5,7} is related to any element of the subset {2,4,6}.