| Let A =M (f) be the matrix associated with the linear mapf ((x,,,z) = (x – 2y,y +z,0) relative to the bases B = {u = (1,0,3); v = (0,2,1) ; w= (2,1,0) } and B'= {u'= (0,0,2);v'= (1,0,3) ;w'= (1,2,1) }, Then the third column of A is 0 B / 1/ 2 1/2 -1/2 ਤੇ ਲੈ ਲਈ ਜਾਨ 07-1/2 OD. 1/2 1/2 1/2 1/2

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