1. (a) Define: invertible linear transformation. (b) T: (7₁,72) → (67₁ - 872,-57₁ +77₂) is a linear transformation from R² to R². Show that T is invertible and find a formula for Talike to the one for T. Also, state the matrix representations for T and T-¹ in the standard bases. 2. If a linear transformation T from R" to R is invertible, show that n = m.

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A:

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