We are given the following vectors in R³: Let T: R3 R2 be a linear transformation such that → 2 17 -8-8-8-8 2 W2 W3 32 39 T (W) T (W2)=7(wy)= X1 X1 Find the vector 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]: [20.8333,31.25] 20.8333 31.25
We are given the following vectors in R³: Let T: R3 R2 be a linear transformation such that → 2 17 -8-8-8-8 2 W2 W3 32 39 T (W) T (W2)=7(wy)= X1 X1 Find the vector 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]: [20.8333,31.25] 20.8333 31.25
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![We are given the following vectors in R³:
Let T: R3 R2 be a linear transformation such that
→
2
17
-8-8-8-8
2 W2
W3
32
39
T (W) T (W2)=7(wy)=
X1
X1
Find the vector
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]:
[20.8333,31.25]
20.8333
31.25](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5fc9088-6d0a-4312-bffe-77961b56b51f%2F4358b0c9-6313-4cea-9dcb-0dd01bfdb3e2%2Fp86ikl1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:We are given the following vectors in R³:
Let T: R3 R2 be a linear transformation such that
→
2
17
-8-8-8-8
2 W2
W3
32
39
T (W) T (W2)=7(wy)=
X1
X1
Find the vector
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]:
[20.8333,31.25]
20.8333
31.25
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