If A=[[2, 3], [4, 5]], prove that A – A^T is skew-symmetric matrix. Watch Solution
If A = [[3, -4], [1, -1]], show that A – A^T is a skew-symmetric matrix. Watch Solution
If the matrix A = [[5, 2, x], [y, z, -3], [4, t, -7]] is a symmetric matrix, find x, y, z and t. Watch Solution
Let A = [[3, 2, 7], [1, 4, 3], [-2, 5, 8]]. Find matrices X and Y such that X + Y = A, where X is a symmetric and Y is a skew-symmetric matrix. Watch Solution
Express the matrix A = [[4, 2, -1], [3, 5, 7], [1, -2, 1]] as the sum of a symmetric and a skew-symmetric matrix. Watch Solution
Define a symmetric matrix. Prove that for A = [[2, 4], [5, 6]], A + A^T is a symmetric matrix where A^T is the transpose of A. Watch Solution
Express the matrix A = [[3, -4], [1, -1]] as the sum of a symmetric and a skew-symmetric matrix. Watch Solution
Express the matrix [[3, -2, -4], [3, -2, -5], [-1, 1, 2]] as the sum of a symmetric and skew-symmetric matrix and verify your result. Watch Solution
