Consider the linear transformation T: M₂x2 (R) → M2x2 (R) satisfying 2 1 T = T = T = (9)-3CD-303-3 2nd T (89)=[73] (a) Determine T (1³1). (b) Find a basis for the kernel of T and give the nullity of T. (c) Find a basis for the range of T and give the rank of T.

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