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We are given the following vectors in R: -23 ---|-|-| 1 3 Wi = W2 = W3 8 3 Let T : R³ + R² be a linear transformation such that 21 T (w1) = T (w2) = T (w3) =| 3 X1 Find the vector X1 such that T (v) = X2 |x2. Hint. Express v as a linear combination of w1, W2, and w3 first. Enter your answer in the form [x1, x2]:

We are given the following vectors in R: -23 ---|-|-| 1 3 Wi = W2 = W3 8 3 Let T : R³ + R² be a linear transformation such that 21 T (w1) = T (w2) = T (w3) =| 3 X1 Find the vector X1 such that T (v) = X2 |x2. Hint. Express v as a linear combination of w1, W2, and w3 first. Enter your answer in the form [x1, x2]:

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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We are given the following vectors in R: -23 ---|-|-| 1 3 Wi = W2 = W3 8 3 Let T : R³ + R² be a linear transformation such that 21 T (w1) = T (w2) = T (w3) =| 3 X1 Find the vector X1 such that T (v) = X2 |x2. Hint. Express v as a linear combination of w1, W2, and w3 first. Enter your answer in the form [x1, x2]:
Transcribed Image Text:We are given the following vectors in R: -23 ---|-|-| 1 3 Wi = W2 = W3 8 3 Let T : R³ + R² be a linear transformation such that 21 T (w1) = T (w2) = T (w3) =| 3 X1 Find the vector X1 such that T (v) = X2 |x2. Hint. Express v as a linear combination of w1, W2, and w3 first. Enter your answer in the form [x1, x2]:
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