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 |kA|=

If A is a square matrix of order n and AA^(T)=I then find |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 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; then the sum of the product of elements of any row (column) with their cofactors is always equal to det A

If A is a skew symmetric matrix of order n and C is a column matrix of order nxx1 , then C^(T)AC is

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 and |A|=D, |adjA|=D' , then

If A is a singular matrix of order n, then (adjA) is