Question

Exercise 1 Consider the two matrices o 3 1 0 ) Say whether the following matrix elements are defined, and if so, give their value: 13, 1M31,M22, V13, V31, /V22 (i) Write MIT and [NI in matrix array notation. (iii) Say whether the following matrices are defined (and explain why). If they are defined, compute them and write the result in matrix array notation

Answer 1

[M] = [1 2 0 -1 3 4]_2 times 3, [N] = [1 0 -1 2 1 0] i) Matrix M is 2 times 3, & matrix N is 3 times 2 M_13 = 3 M_31 = not define M_22 = -1 N_13 = not define N_31 = -1 N_22 1 ii) [M] = [1 2 0 -1 3 4] [N] = [1 0 -1 2 1 0] Transpose matrix are [M]^T = [1 0 3 2 -1 4], [N]^T = [1 2 0 1 -1 0] iii) [M] = [1 2 0 -1 3 4] [N] = [1 0 -1 2 1 0] compute the matrix \r\n [M][N] = [1 2 0 -1 3 4]_2 times 3 [1 0 -1 2 1 0]_3 times 2 = [1 + 0 -3 2 + 0 -4 2 + 0 + 0 4 -1 + 0] = [-2 -2 2 3] [N][M] = [1 0 -1 2 1 0]_3 times \r\n