1.Let A=M®.() be the matrix associated with the linear map f(x,y,z) = (2x-2y+ 2, x-4y+z,x-y-z) relative to the bases B= {u=(5,16, 1);v=(2,1,-4); w=(7,17,2) } and B^= {ம^= (2,0, 1); v^= (1,0, 1); w^= (3,2,0) } Then the second column of A is: OA OB °[] °TE] OD ∞:) °“[?]

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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1. Let A =M" (f) | be the matrix associated with the linear map f (x,y,z) = (2x – 2y + z, x – 4y + z, x − y – z) relative to the bases B = {u= (5,16, 1); y=(2,1, – 4); w=(7,17,2) and B'= {u'= (2,0, 1); v'= (1,0, 1); w'=(3,2,0) }
A :
Then the second column of A is:
O A. | 0
°
0
2
2
º;)
O C
°។
°
1
O E. ( 2
°
Transcribed Image Text:1. Let A =M" (f) | be the matrix associated with the linear map f (x,y,z) = (2x – 2y + z, x – 4y + z, x − y – z) relative to the bases B = {u= (5,16, 1); y=(2,1, – 4); w=(7,17,2) and B'= {u'= (2,0, 1); v'= (1,0, 1); w'=(3,2,0) } A : Then the second column of A is: O A. | 0 ° 0 2 2 º;) O C °។ ° 1 O E. ( 2 °
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