cises, assume that T is a linear transformation. Find the

Chapter 1, Problem 2E

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QUESTION:

PROBLEM 2EIn Exercises, assume that T is a linear transformation. Find the standard matrix of T.T : ?3? ?2, T(e1) = (1, 3), T(e2) = (4, ?7), and T(e3) = (?5, 4), where e1, e2, e3 are the columns of the 3×3 identity matrix.

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QUESTION:

PROBLEM 2EIn Exercises, assume that T is a linear transformation. Find the standard matrix of T.T : ?3? ?2, T(e1) = (1, 3), T(e2) = (4, ?7), and T(e3) = (?5, 4), where e1, e2, e3 are the columns of the 3×3 identity matrix.

ANSWER:

SolutionStep 1In this problem we need to find the standard matrix of T.Consider the linear transformation with ,and where are the columns of the 3×3 identity matrix.Standard matrix for linear transformation:The standard matrix for linear transformation is defined as

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