For any two matrices A and B of the same order; `(A+B)^T = A^T + B^T`

If A and B are any two square matrices of the same order then (A) (AB)^T=A^TB^T (B) (AB)^T=B^TA^T (C) Adj(AB)=adj(A)adj(B) (D) AB=0rarrA=0 or B=0

If A and B are any two matrices of the same order, then (AB)=A'B'

If A and B are symmetrices matrices of the same order, then A B^T B A^T is a (a) skew-symmetric matrix (b) null matrix (c) symmetric matrix (d) none of these

If A and B are two matrices of the same order; then |AB|=|A||B|

For two matrices A and B ,verify that (AB)^(T)=B^(T)A^(T), where A=[1324]B=[1425]

If A and B are matrices of the same order, then AB^(T)-B^(T)A is a a ( a) skew-symmetric matrix (b) null matrix (c) unit matrix (d) symmetric matrix

A square matrix A is said to be orthogonal if A^T A=I If A is a sqaure matrix of order n and k is a scalar, then |kA|=K^n |A| Also |A^T|=|A| and for any two square matrix A d B of same order \AB|=|A||B| On the basis of abov einformation answer the following question: If A is an orthogonal matrix then (A) A^T is an orthogonal matrix but A^-1 is not an orthogonal matrix (B) A^T is not an orthogonal mastrix but A^-1 is an orthogonal matrix (C) Neither A^T nor A^-1 is an orthogonal matrix (D) Both A^T and A^-1 are orthogonal matices.

If A and B are any two square matrices of the same order than ,

If A and B are square matrics of the same order then (A+B)^2=?

If A and B are square matrics of the same order then (A-B)^2=?