Please help me with this assignment

MA1200 A2 F23 Assignment 3 Name: Total Marks: 30 Due Thursday September 28 1. [11] Given A = $ 1 21. B= [4 10 0 1/21, c = 0 12] 5 D = 3 0 and -2 3 0 - 9 ; 2 3 -61 Find the following (some of these might be undefined): a) a23 b) d23 C) A + B d) ET + 413 e) 2B - 3D f) x, y, z and w such that [x - y 2w - 6 =C 4-z xty 2. a) [3] Simplify the following expression, where A, B and C are matrices of the same size: -3 4(A - 3B) - 2 (5C + 3B) + 8 (3A-B+ 3C). b) [4] Given A = 3 -1 41 3 0 and B = 8 7 _2, solve the following for X: 4(3A + 2X) = 5(4X - 2B + 2A). 3. [12] Given A = 2 D = 0 folowing lor 0 1 , find the following (some of them might be undefined). LO 0 a) (CB) 31 b) AB C) BA d) D2 e) D3 f) D18 (If you find yourself doing a lot of work, you're doing something wrong.) (Powers of square matrices are defined just like for numbers: X0 = 1; X1 = X; X2 = XX; X3 = XXX; ...; X" = XXX ...X.) n factors