IF A and B are the given matrix, then find `A+B`.

If A=[[1,20,3]] is written as B+C, where B is a symmetric matrix and C is a skew- symmetric matrix,then find B.

If the trace of the matrix A is 5, and the trace of the matrix B is 7, then find the matrix (3A + 2B).

If the trace of the matrix A is 4 and the trace of matrix B is 7, the find trace of the matrix AB.

If A and B are symmetric matrices then AB-BA is a Symmetric Matrix (b) Skewl symmetric matrix Diagonal matrix (d) Null matrix

If A and B are symmetric matrices,then ABA is (a) symmetric matric b) skew-symmetric matrix (c) diagonal matrix (d) scalar matrix

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

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 symmetric matrices of order n(A!=B) then (A) A+B is skew symmetric (B) A+B is symmetric (C) A+B is a diagonal matrix (D) A+B is a zero matrix

If A is an mxxn matrix such that AB and BA are both defined, then B is (A) mxxn matrix (B) nxxn matrix (C) mxxn matrix (D) nxxm matrix

If matrix A=[(0,1,-1),(4,-3,4),(3,-3,4)]=B+C , where B is symmetric matrix and C is skew-symmetric matrix, then find matrices B and C.