I want some explanation

1. Calculate the following where possible and state the dimension of the result:. (2) 2 [3] - 5 + 3 [1] (b) 26 0 +3 8 9 (c) @ 1 1 + 6 1 2. Let A = 1 1 2 . B- 1 32 ,C- 2 1 8. Compute 20-3(A-2C) and then solve for the unknown in the following equations: 20 -3(A - 20) = 13 8 -6 (a) X +3A = C (b) A - 3X = 30 (@ ) 2x + 17 3 ] - B 3. Write the following vector as linear combination of constant vectors with scalar coefficient X, y, Z or w. 3x + 2y - w W - Z cty-2w 4. Find examples of 2 x 2 matrices A and B that fulfil each of the following conditions. (a) (AB)? # AB2 (b) AB # BA ECON2015 Tutorial 1, Page 2 of 3 Semester 1, 2021/22 5. What is the dimension of the following matrices: (a) A = ? (b) B = 1 0 -3 2 (c) C = -2 3 (d) D = [1 2 3] 6. In question 5, above, state whether the following can be calculated and the dimension of the result (a) AB (b) A + B (c) BC (d) B : A (e) AC (f) CD (g) A-C (h) C + B (i) AD (i) D - A (k) B + C (1) DC