Diagonalize the matrix `A=[[2,3],[4,1]]`

1.Find the adjoint of the matrix A= [[1,2],[3,4]]

Cofactors of matrix A= [ [2,-3],[4,1]] are

Using elementary transformations, find the inverse of the matrix [[3,-1],[-4, 2]]

Using elementary transformations, find the inverse of the matrix [[3,-1],[-4, 2]]

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

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

Write the adjoint of the following matrix: [[2,-1],[4,3]]

The rank of the matrix A={:[(1,2,3,4),(4,3,2,1)]:} , is

Express the matrix A=[[4, 2,-1], [3 ,5, 7], [1,-2 ,1]] as the sum of a symmetric and a skew-symmetric matrix.

Express the matrix A=[[2,4,-6],[ 7,3,5],[ 1,-2, 4]] as the sum of a symmetric and skew symmetric matrix.