Q) it is transformation. For each of the following matrix A TA 1. give the domain and codomain of 2. find Ta(er), TA(е) 3. find Ta(v), TẠ(w) 4. Easily explain what the transformation is doing, 5. determine if it is one-to-one / onto or not, 6. give a matrix appropriate "name"(ex, "the x-zero-er" for projection to t-axis") -B -- -- -- --| e1 1 e3 v = |1 w = [1 0 0] 0 0 1 [1 0 0] 2. A= |0 1 0 0 0 0] 1. А%-D 2 1 0 |4 2 1 1 1 0 |1 1 2 3. А%- [o 0 0] 0 0 0] 4. A=

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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Please do problem 2,3,4 by following guideline 1~6. Thanks

Q) it is transformation. For each of the following matrix A
TA
1. give the domain and codomain of
2. find Ta(er), TА (ез)
3. find Ta(v), ТА(w)
4. Easily explain what the transformation is doing,
5. determine if it is one-to-one / onto or not,
6. give a matrix appropriate "name"(ex, "the x-zero-er" for projection to t-axis")
v = |1
w = |1
-3
[1 0 0]
0 0 1]
[1 0 07
2. A= |0 1 0
Lo o o]
1. A=
2 1 0
4 2 1
1 1 0
1 1 2
3. A =
[o o o]
0 0 0
4. А%3D
Transcribed Image Text:Q) it is transformation. For each of the following matrix A TA 1. give the domain and codomain of 2. find Ta(er), TА (ез) 3. find Ta(v), ТА(w) 4. Easily explain what the transformation is doing, 5. determine if it is one-to-one / onto or not, 6. give a matrix appropriate "name"(ex, "the x-zero-er" for projection to t-axis") v = |1 w = |1 -3 [1 0 0] 0 0 1] [1 0 07 2. A= |0 1 0 Lo o o] 1. A= 2 1 0 4 2 1 1 1 0 1 1 2 3. A = [o o o] 0 0 0 4. А%3D
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