justintsmith5875 justintsmith5875

05-06-2023
Mathematics

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Consider the linear transformation T: M2×2(R) → M2x2 (R) satisfying 1 2] 2 ¹( )) = [ 3¹ ( D=1²(D-R1] (63) T ,T T 3] -1 0 0 -2 and T ¹7 (89) - [73]. = -3 3 (a) Determine T T (11). -1 4 (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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