7. Linear transformation T: R" → R" is given by one of the matrices below. Find m and n. 1 -1 2 -2 3 -3 (2) [ 1 3 4 4 ] [: (b) 0 -2 8 3 11 (c)

Find the inverse of the matrix below using the augmented matrix [A I] 2 A [ 1 1 1 1 1 -1 2

Following matrices Find 2A+3B 3 AB 3 A-B A+B value I 2 1 2 3 1 B= -1 3 3 A= -1 1 1 5 -2. 5 0 -1.

If A = b c d I then A is invertible if ad-bc0, in which case A-1 = If ad bc = 0, then A is not invertible. Find the inverse of the given matrix (if it exists) using the theorem above. (If this is not possible, enter DNE in any single blank. Enter sqrt(n) for √n.) ↓ 1 1 ad - bc -C 5/√2 -5/√2 5/√2 5/√2 d -b |