Home
Class 12
MATHS
Let A be a square matrix of order n; the...

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 `|A|`

Promotional Banner

Similar Questions

Explore conceptually related problems

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.

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

The sum of products of elements of any row with the cofactors of corresponging elements is equal to……………

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 3 so that sum of elements of each row is 1 . Then the sum elements of matrix A^(2) is

The sum of the products of elements of any row with the cofactors of the corresponding element of any other row is 0 1 -1 2

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

If A is a square matrix of order n, then |adj (lambdaA)| is equal to

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

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