Needs to be program in MATLAB

2. Check some linear algebra rules: Enter the following matrices: 3 A [ 16. +4.). B=[- ::]. c=[ 1 - 1 - 16 16 = 3 12 -12) -4 -4 1 The following rules of algebra hold for real numbers. However, most of them are false for matrices. Use the matrices A, B, C above to perform the appropriate operations in MATLAB and determine which rules are false. Below, 0 denotes the 2 x 2 zero matrix. Note that if a rule holds for these particular matrices, it does not mean that it is true in general. However, you should be able to determine that from the theory you have learned in class. = (i) (AB)2 = A2B2 (ii) A(B+C) = BA+CA (iii) If A2 = 0, then A = 0 = = = (iv) A(B + C) = AB + AC (v) If BC 0, then B = 0 or C = 0 (vi) (A B)(A + B) = A2 B2 (vii) (A + B)2 = A2 + 2AB + B2 = =