Let , and let T : ?2 ? ?2be a linear transformation that

Chapter 1, Problem 20E

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QUESTION:

PROBLEM 20E

Let, and let T : ℝ2 → ℝ2be a linear transformation that maps × into x1v1 + x2v2. Find a matrix A such that T(x) is Ax for each x.

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QUESTION:

PROBLEM 20E

Let, and let T : ℝ2 → ℝ2be a linear transformation that maps × into x1v1 + x2v2. Find a matrix A such that T(x) is Ax for each x.

ANSWER:

Solution :

Step 1 :

In this problem we have to find the matrix A.

Let be a linear transformation that map ,

find matrix A, such that is Ax for each x.

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