Question

Let a, b, c be the last three digits of your roll number. Let A =



a b c

b c a

. Let

B =







A if a2 + b

2 + c

2 = 4k for some integer k

AAT

if a2 + b

2 + c

2 = 4k + 1 for some integer k

ATA if a2 + b

2 + c

2 = 4k + 2 for some integer k

AT

if a2 + b

2 + c

2 = 4k + 3 for some integer k

Find the four fundamental subspaces corresponds to B and their bases.​

Answer 1

Answer:

Please write in a proper way