Matrices and De...

If K > 1 and the determinant of the matrix A², where

Let P = [a_ij] bc a 3 × 3 matrix and Q = [b_ij], where b_ij = 2^i+j for 1 ≤ i, j ≤ 3, if the determinant of P is 2, then the determinant of the matrix Q is

If P, Q and R are angles of ΔPQR, then the value of

Let P and Q be 3 × 3 matrices, P ≠ Q If P³ = Q³ and P²Q = Q²P, then determinant of (P² + Q²) is equal to

Statement I . Determine of a skew- symmetric matrix of order 3 is zero
Statement II. For any matrix A , det (A^T) = det (A) and det (-A) = - det (A) . Where, det (B) denotes the determinant of matrix B. Then,