Let T : 2 3 be a linear transformation such that T(x1,x2)

Chapter 1, Problem 22E

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QUESTION:

PROBLEM 22E

Let T : ℝ 2 → ℝ 3 be a linear transformation such that T(x1,x2) = (x12x2, −x1+ 3x2, 3x12x2). Find x such thatT(x) = (−1, 4, 9).

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QUESTION:

PROBLEM 22E

Let T : ℝ 2 → ℝ 3 be a linear transformation such that T(x1,x2) = (x12x2, −x1+ 3x2, 3x12x2). Find x such thatT(x) = (−1, 4, 9).

ANSWER:

Solution

Step 1:

Given :   T : ℝ2 → ℝ3 be a linear transformation,,

We have to find

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