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/columnn of A by a scalar k then `|B| = k |A|`

Let A be a square matrix of order n(>=2) and let B be a matrix obtained from A by interchanging any two rows (columns) of A ; |B|=-|A|

Let A be a square matrix and B be a matrix obtained from A by adding to a row/column of A a scalar multiple of another row/column of A; then |B|=|A|

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

Let A be a square matrix of order 3 such that |Adj A | =100 then |A| equals

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 n xx n where n ge 2. Let B be a matrix obtained from A with first and second rows interchanged. Then which one of the following is correct ?

Let A be a square matrix of order n xx n where n ge 2 . Let B be a matrix obtained from A with first and second rows interchanged. Then which one of the following is correct ?

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

Let A be a square matrix of order n. Then; A(adjA)=|A|I_(n)=(adjA)A

If A is a square matrix of order 3 and |5A| = k|A|, then write the value of k