QUESTION 3 B Let A=M³ (f) B be the matrix associated with the linear map f((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. 1/2 1/2 - 1/2 B. 2 ORG) 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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QUESTION 3
B
Let A=M³ (f) be the matrix
B
associated with the linear map
f((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
and
B'= {u'= (0,0,2) ;v '= (1,0, 3) ;w'= (1,2,1) }
. Then the third column of A is:
O A.
1/2
1/2
- 1/2
B. 2
OR (3)
Transcribed Image Text:QUESTION 3 B Let A=M³ (f) be the matrix B associated with the linear map f((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 and B'= {u'= (0,0,2) ;v '= (1,0, 3) ;w'= (1,2,1) } . Then the third column of A is: O A. 1/2 1/2 - 1/2 B. 2 OR (3)
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