1. Let A=MB (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); v= (2,1,-4); w=(7,17,2)} and B'= {u'=(2,0,1); v' = (1,0,1); w'=(3,2,0)) Then the second column of A is: A. 2 "B 3 3 B. C. 2 @ -4 1 0 0 2 ° 1 D. 2 3 1 E. 2 1 3

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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1. Let A=MB (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); v = (2,1,-4); w=(7,17,2) }
and
B'= {u'=(2,0,1); v' = (1,0,1); w'=(3,2,0)) Then the second
column of A is:
A. 2
"B
3
3
B.
C.
2
@
-4
1
0
0
2
°
1
D. 2
3
1
E. 2
1
3
Transcribed Image Text:1. Let A=MB (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); v = (2,1,-4); w=(7,17,2) } and B'= {u'=(2,0,1); v' = (1,0,1); w'=(3,2,0)) Then the second column of A is: A. 2 "B 3 3 B. C. 2 @ -4 1 0 0 2 ° 1 D. 2 3 1 E. 2 1 3
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