The following rules of algebra 1-5 listed below hold for real numbers. However, most of them are false for matrices. Use the matrices A, B, C below 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. [ = Compute the Left Hand Side and the Right Hand Side of the equation and store them in the variables LHS1, RHS1, LHS2, RHS2 and so on = Use the logical operator == to determine whether the statements below are true or false. LHS==RHS does element by element comparison between the variables LHS and RHS and returns an array with elements set to 1 (True) where the relation is true and elements set to 0 (False) where it is not. Store the result of question 1 in the variable ans1, the result of question 2 in ans2, and so on. (e.g. ans1=LH51==RHS1). Enter the matrices A= | > _|.8=[" 73| nterthe matrices A= | , ,|.B=| ; | C= For each question below You will be asked specific written questions about your computations in part 1l of this problem. 1. AB+C)=AB+ AC 2 AB+C)=BA+CA 3 (A+BP=A4+2AB+ B 4 (AB) = A2B? 5(A-B(A+B)=A"-B