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Define the linear transformation T by T(X) = AX. 14 A= 32 (a) Find the kernel...

Question:

Define the linear transformation T by T(X) = AX. 14 A= 32 (a) Find the kernel of T. (If there are an infinite number of solut
Define the linear transformation T by T(X) = AX. 14 A= 32 (a) Find the kernel of T. (If there are an infinite number of solutions use t as your parameter.) ker(7) (b) Find the range of T. O {(t, 2t): t is any real number) O R2 O {(-t, t): t is any real number) OR {(2t, t): t is any real number)

Answers

T(x) = Ax, where A = = [:)] Ker (T) = { | T(a) = 0 { x 1 ze | Ax = 0 Az =0) 2 o } Azco -> 24 3 2 x = ) १५५ - 2-12 ON one et (

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