Question: linear algebra Let us consider the linear transformation 7 : R3 -> R* defined by I1 + 213 T( x) := for every x C

linear algebra

Let us consider the linear transformation 7 : R3 -> R* defined by I1 + 213 T( x) := for every x C R3. (a) (10 points) Find the inverse of T. (b) (10 points) Find . a basis B for R3, and . a 3 x 3 diagonal matrix D such that [T(x)]B = D(x]B for every x

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