Question: Linear Algebra: Q5. Let S and T be linear transformations from R3 to R3 dened as follows: S(x,y,z) = (3x + 53/ + z,2x +

Linear Algebra:

Q5. Let S and T be linear transformations from R3 to R3 dened as follows: S(x,y,z) = (3x + 53/ + z,2x + y 2.x z) and T(x.y,z) = (x y,y z,z 2:). Compute the associated matrices [5]\". [T]a. [S + T]a, [50'1"]0l and [T'1]a if T"1 exists, where a is the standard basis of R3

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