LetA=M₁(f) be the be the matrix associated with with the linear map ƒ((x,y,z)) = (x - 2y,y+z,0) relative the bases B={u=(1,0,3); v= (0,2,1), w=(2,1,0) } to B' and B'= {u'= (0, 0, 2); v' = (1, 0, 3); w'= (1,3,1) } Then the first column of A is:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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QUESTION 2
Let A=M³₁
3, (f) be the matrix
B
to
associated
ƒ((x,y,z)) = (x − 2y,y+z,0) relative
the
bases
B={u=(1,0,3); v = (0,2,1), w=(2,1,0) }
with
with
the linear
linear map
and
B'= {u'= (0, 0, 2); v' = (1, 0, 3) ; w'= (1,3,1) }
Then the first column of A is:
Transcribed Image Text:QUESTION 2 Let A=M³₁ 3, (f) be the matrix B to associated ƒ((x,y,z)) = (x − 2y,y+z,0) relative the bases B={u=(1,0,3); v = (0,2,1), w=(2,1,0) } with with the linear linear map and B'= {u'= (0, 0, 2); v' = (1, 0, 3) ; w'= (1,3,1) } Then the first column of A is:
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