Question 3: Let ť = |1 a) Is there any linear transformation L such that L(u) = v and L(w) = t? If yes: How many such L are there? Give one example. If the answer is no: Explain. b) Is there any linear transformation L such that L(u) = v and L(w) = t and so that L also creates the plane x – y + z = 0? Explain.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Question 3: Let
ť = |1
a) Is there any linear transformation L such that L(u) = v and L(w) = t? If yes: How many
such L are there? Give one example. If the answer is no: Explain.
b) Is there any linear transformation L such that L(u) = v and L(w) = t and so that L also
creates the plane x – y + z = 0? Explain.
Transcribed Image Text:Question 3: Let ť = |1 a) Is there any linear transformation L such that L(u) = v and L(w) = t? If yes: How many such L are there? Give one example. If the answer is no: Explain. b) Is there any linear transformation L such that L(u) = v and L(w) = t and so that L also creates the plane x – y + z = 0? Explain.
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