Let A = M (f) be the matrix associated with B the linear map f((x,y,z)) = (x-2y+z,y+z-x,x+z) relative to the bases B={u= (1,0,3); v = (0, -3,8), w=(2,11,0) } and B'= {u'= (0,0, 2); v' = (1,0,3); w' = (1,5, 1)} Then the second column of A is: 0 -3 2 H E 8 O A. B. 14 C. D. - 16 13 1 - 1/2 1/2 1/2 E. OF:1
Let A = M (f) be the matrix associated with B the linear map f((x,y,z)) = (x-2y+z,y+z-x,x+z) relative to the bases B={u= (1,0,3); v = (0, -3,8), w=(2,11,0) } and B'= {u'= (0,0, 2); v' = (1,0,3); w' = (1,5, 1)} Then the second column of A is: 0 -3 2 H E 8 O A. B. 14 C. D. - 16 13 1 - 1/2 1/2 1/2 E. OF:1
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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Question

Transcribed Image Text:-B
Let A = M (f) be the matrix associated with
B
the
map
linear
f((x,y,z)) = (x−2y+z,y+z− x,x+z)
relative
to
the
bases
B = {u= (1,0,3); v = (0, – 3,8), w=(2,11,0) }
and
B'= {u'= (0, 0, 2); v' = (1,0, 3) ; w'= (1,5,1) }
Then the second column of A is:
A. 0
°C)
- 3
2
B. 14
OC.
D.
1
5
8
- 16
13
- 1/2
1/2
- 1/2
E. 0
OL:1
0
5
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