Home
Class 12
MATHS
Let A=[a(ij)] be a square matrix of orde...

Let `A=[a_(ij)]` 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 then `|B|=-|A|`

Promotional Banner

Similar Questions

Explore conceptually related problems

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 = [a _(ij)] be a square matrix of order 2 and |A| =2. Then, the value of |5A|

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|

A = [a_(ij)]_(mxx n) is a square matrix , if

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 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 ?