Determinants Te...

If A is a square matrix such that A² = A, then, det.(A) = ………

If A’ is the transpose of a square matrix A, then

Let A and B be 3 × 3 matrices, then AB =O implies

If A and B are any 2 × 2 matrices , then det. (A+B) = 0 implies

If A and B are square matrices of same order and A’ denotes the transpose of A, then

In a third order determinant, each element of the first column consists of sum of two terms, each element of the second column consists of sum of three terms and each element of the third column consists of sum of four terms. Then it can be decomposed into n determinants, where n has value

If each element of a 3 × 3 matrix A is multiplied by 3, then the determinant of the newly formed matrix is

If A is a non singular matrix of order 3, then |adj(adj A)|

If the matrix AB = O , then