Let A=M³₁(f) be the matrix associated B with linear the 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. B. 2 O U 1/2 1/2 - 1/2 04!)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 34E
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Let A=M³₁(f) be the matrix associated
B
with
linear
the
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.
B.
2
U
1/2
1/2
- 1/2
04:
C
Transcribed Image Text:Let A=M³₁(f) be the matrix associated B with linear the 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. B. 2 U 1/2 1/2 - 1/2 04: C
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