Suppose T :R3 to R5 is a linear transformation with corresponding matrix A (so t

Question

Suppose T :R3 to R5 is a linear transformation with corresponding matrix A (so that T(x) = Ax). Which of the following are true statements (there may be more than one correct answer).

Suppose T : R3 R5 is a linear transformation with corresponding matrix A (so that T(x) = Ar). Which of the following are true statements (there may be more than one correct answer) (a) T is a 5 × 3 matrix. (b) A is a 3 × 5 matrix. 0 (c) If we want to calculate the matrix A, we need to know T0, T) 0 0 and T o). and T( 101) (d) For any vectors u and v in R, T(u-v) = u-v.

Explanation / Answer

(a)Flase. It is not a matrix

(b)Flase. It is 5 x 3 matix.

(c) True

(d) False. T(u-v)=T(u) - T(v)

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