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6. 3%) Find the (₁1-1)) (20%) Consider the linear transformation T: RR represented by T(x)= Ax. Find the nullity and rank of T, and determine whether T is one-to-one, onto or neither. (a) A = 10 1 1 (b) A = 2 Lo n m 1 1 1 0 1 0 1 (c) A = 1 12 2 0 11 1 1 3 1 2 [11 (d) A 2 1 1 lo o ol

6. 3%) Find the (₁1-1)) (20%) Consider the linear transformation T: RR represented by T(x)= Ax. Find the nullity and rank of T, and determine whether T is one-to-one, onto or neither. (a) A = 10 1 1 (b) A = 2 Lo n m 1 1 1 0 1 0 1 (c) A = 1 12 2 0 11 1 1 3 1 2 [11 (d) A 2 1 1 lo o ol

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6. 3%) Find the (₁1-1)) (20%) Consider the linear transformation T: RR represented by T(x)= Ax. Find the nullity and rank of T, and determine whether T is one-to-one, onto or neither. (a) A = 10 1 1 (b) A = 2 Lo n m 1 1 1 0 1 0 1 (c) A = 1 12 2 0 11 1 1 3 1 2 [11 (d) A 2 1 1 lo o ol
Transcribed Image Text:6. 3%) Find the (₁1-1)) (20%) Consider the linear transformation T: RR represented by T(x)= Ax. Find the nullity and rank of T, and determine whether T is one-to-one, onto or neither. (a) A = 10 1 1 (b) A = 2 Lo n m 1 1 1 0 1 0 1 (c) A = 1 12 2 0 11 1 1 3 1 2 [11 (d) A 2 1 1 lo o ol

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