2 -2 2 3 5 12 6 -3 3-6 3, (Use format rat) Let A= (a) Compute det A b)Consider the following matrices obtained from A by elementary row operations: i. B is obtained from A by adding 7 times row 2 to row 4 ii. C is obtained from A by swapping row 1 with row 3 iii. D is obtained from A by multiplying row 2 by 1/5 Without doing any computations in MATLAB, determine the values of det B, det C, and det D (c) Use MATLAB to produce the matrices B.C, D by applying the row operations to A (see Project 1 for how to do row operations in MATLAB.) Since you don't want to actually change what you've stored as A in MATLAB. you may want to start with the command B-A, and then do the row operation to B (and similarly for C and D) (d) Compute the determinants of B, C, and D in MATLAB, and verify that they are the same as the values you predicted above