The coordinates of v relative to the basis C are given by [v]c = P[v]g. C-B" [v]c = P[v]s C+B -72

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 53PS
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Given the following bases for R?, find P the change of coordinates matrix from B to C.
CEB
-{{}}
-57
B :
C =
||
24
P
C-B
If (v]B =
then (v]c
3
Check
Next
X Each incorrect answer is highlighted.
[o -9
-72
Expected: P
C-B
Me =
-17
To find P, the augmented matrix
c2 bị b2 is row reduced to
I2
C-B
C1
C-B
-2
-2 -57
1 0 0
-9
1
24
0 1 1
3
-9
Thus, P
C-B
The coordinates of v relative to the basis C are given by [v]c = ¸P_[v]g.
C-B
[v]c = P[v]B
CEB
[o -9"
-3
-72
17
Transcribed Image Text:Given the following bases for R?, find P the change of coordinates matrix from B to C. CEB -{{}} -57 B : C = || 24 P C-B If (v]B = then (v]c 3 Check Next X Each incorrect answer is highlighted. [o -9 -72 Expected: P C-B Me = -17 To find P, the augmented matrix c2 bị b2 is row reduced to I2 C-B C1 C-B -2 -2 -57 1 0 0 -9 1 24 0 1 1 3 -9 Thus, P C-B The coordinates of v relative to the basis C are given by [v]c = ¸P_[v]g. C-B [v]c = P[v]B CEB [o -9" -3 -72 17
Given the following bases for R?, find P the change of coordinates matrix from B to C.
CEB
c-{H}
16
B =
C =
Ex: 1
P
CEB
[3
then [v]c =
Ex: 9
If [v]g =
Transcribed Image Text:Given the following bases for R?, find P the change of coordinates matrix from B to C. CEB c-{H} 16 B = C = Ex: 1 P CEB [3 then [v]c = Ex: 9 If [v]g =
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