3. Let W =span -2 (a) Find a linear transformation T: R5 (b) Find a linear transformation S; R5 (c) Let = R such that T() is the projection of onto W. R5 such that S() is the projection of 2 onto W¹ 1 7 . Use the above to find the projection of onto W and onto W.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Let Wspan
-1₁
2
1
(c) Let =
NO
(a) Find a linear transformation T: R5
(b) Find a linear transformation S; R5
2
R such that T() is the projection of
R5 such that S() is the projection of
onto W.
onto W.¹
Use the above to find the projection of onto W and onto W.
Transcribed Image Text:3. Let Wspan -1₁ 2 1 (c) Let = NO (a) Find a linear transformation T: R5 (b) Find a linear transformation S; R5 2 R such that T() is the projection of R5 such that S() is the projection of onto W. onto W.¹ Use the above to find the projection of onto W and onto W.
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