The inverse of the matrix `[(2,3),(-4,7)]` is (A) `[(-2,-3),(4,-7)]` (B) `1/26 [(7,-3),(4,2)]` (C) `[(7,4),(-3,2)]` (D) `[(7,-3),(4,2)]`

Multiplicative inverse of the matrix [[2,1],[7,4]] is (i) [[4,-1],[-7,-2]] (ii) [[-4,-1],[7,-2]] (iii) [[4,-1],[7,2]] (iv) [[4,-1],[-7,2]]

Multiplicative inverse of the matrix [[2,1],[7,4]] is (i) [[4,-1],[-7,-2]] (ii) [[-4,-1],[7,-2]] (iii) [[4,-1],[7,2]] (iv) [[4,-1],[-7,2]]

Write the adjoint of the matrix A=[(-3, 4),(7,-2)] .

Find the rank of the matrix A = [[2,4,3,-2],[-3,-2,-1,4],[6,-1,7,2]]

If A=[(2, 0,-3),( 4, 3, 1),(-5, 7, 2)] is expressed as the sum of a symmetric and skew-symmetric matrix, then the symmetric matrix is (a) [(2, 2,-4 ),(2, 3, 4),(-4, 4, 2)] (b) [(2, 4,-5),( 0, 3, 7),(-3, 1, 2)] (c) [(4, 4,-8),( 4, 6, 8),(-8, 8, 4)] (d) [(1, 0 ,0 ),(0 ,1 ,0),( 0, 0, 1)]

Find the rank of the matrix [[1,2,-1,3],[2,4,1,-2],[3,6,3,-7]]

Find the inverse the matrix (if it exists) given in [(2, 1, 3),( 4,-1, 0),(-7, 2, 1)]

If A=[(2,3),(5,7)], B=[(0,4),(-1,7)]andC=[(1,0),(-1,4)] find AC+B^(2)-10C .

Wherever possible write each of the following as a single matrix. (i) [{:(,1,2),(,3,4):}]+[{:(,-1,-2),(,1,-7):}] (ii) [{:(,2,3,4),(,5,6,7):}]-[{:(,0,2,3),(,6,-1,0):}] (iii) [{:(,0,1,2),(,4,6,7):}]+[{:(,3,4),(,6,8):}]