Consider the matrices A = (a) Compute AB. (b) Partition A into rows and B into columns as Verify directly that i. ii. and that and let (c) Partition AT into columns: a A=a2 a3 and B= 1 (1 B= (b b b3| b4). a B AB= aB a3 B 2 3 1-2 0, 3). AB= (Ab| Ab2| Ab3| Ab4), How many rows and columns does C have? (d) Express C in terms of A and B. (e) Write out the column-row expansion of C. AT = (U|U| Us). C = ((u B) | (uB) | (u B)").