Question: 2 3 5 2 5 2 3 3 3 -1 4 5 Q 5 9 2 3 3 il 1 from R5 to R1 dened

 2 3 5 2 5 2 3 3 3 -1 4

2 3 5 2 5 2 3 3 3 -1 4 5 Q 5 9 2 3 3 il 1 from R5 to R1 dened by T{x] 2 AK. [a] Find a basis for the null space of A and a basis of the column space of A respectively. Find the rank of A and the dimension of the null space of A respectively. [5 marks] 2. Let A = and T be a linear transformation Us] Find a basis of the kernel of T and a basis of the range of T respec tively. Find the nullity and rank of T respectively. [2 marks]

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