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 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|

Row matrix and column matrix

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 I denote the 3xx3 identity matrix and P be a matrix obtained by rearranging the columns of I. then

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.

Write a matrix which contains 1 row and 3 columns.

If A is a 3-rowed square matrix and |A|=4 then |adjA|=?