Let A be a square matrix of order `n(>= 2)` such that each element in a row(column) of A is 0, then `|A| = 0`.

If A is a square matrix of order n then |kA|=

Let A be a square matrix such that each element of a row/column of A is expressed as the sum of two or more terms.Then; the determinant of A can be expressed as the sum of the determinants of two or more matrices of the same order.

Let A be a square matrix of order n; then the sum of the product of elements of any row (column) with the cofactors of the corresponding elements of some other row (column) is 0.

Let A be a square matrix of order n; then the sum of the product of elements of any row (column) with their cofactors is always equal to det A

Let A be a square matrix of order 3 so that sum of elements of each row is 1 . Then the sum elements of matrix A^(2) is

" 2.Let A be a square matrix of order "3times3" ,then "|KA|" is equal to "

If A is a square matrix of order n, prove that |AadjA|=|A|^(n).

If A is a square matrix of order n, prove that |A adj A|=|A|^(n)

Let A be a square matrix of order n and let B be a matrix obtained from A by multiplying each element of a row/column of A by a scalar k then |B|=k|A|

Let A be a square matrix of order n and C is the cofactors matrix of A then |C|=|A|^(n-1)