Question: (5) Let V. W be finite dimensional vector spaces with respective ordered bases 8, y. Let T and U be linear transformations from V to

(5) Let V. W be finite dimensional vector spaces with respective ordered bases 8, y. Let T and U be linear transformations from V to W. Which of the following statements are true? (1) Supose dim(V) = n and dim(W) = m. The matrix representing T in S to y coordinates has m rows and n columns. (2) If A and B are the matrices representing T and U respectively in 3 to y coordinates, then A + B is the matrix representing T + U in 8 to y coordinates. (3) The set of linear transformations from V to W, under pointwise addition and scalar multiplication, is a vector space

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