Question: Please solve this and explain the answer to me. please do not use cursive as I can't read it. 5. Prove or disprove that the

Please solve this and explain the answer to me. please do not use cursive as I can't read it.

5. Prove or disprove that the following sets are subspaces of the space of 2 x 2 matrices. (a) Si is the set of 2 x 2 matrices A such that: a12 = a21 and all = a22 = 0. (b) S2 is the set of 2 x 2 matrices A such that: all - a22 = 0. (c) S3 is the set of singular (non-invertible) 2 x 2 matrices. -2 NO 6. Let A = OON N and let b = 2 0 09 H -3 O (a) Find the rref( A). (b) Find the rank of A. (c) Find a such that b is in the column space of A

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(c) 13 2 4 2 563 42 15 5 5 632 FCFS 161751 5 5 5 5 234 3 3 3 3 3 6 6 6 6 6 6 G Total 8 Fault 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 2 2 2 2 PFPF PF PF HiT PF PF PF HiT PF Hit Hit Hit