(d) Find the coordinate matrix [x]g, given the coordinate matrix [x]g•. 5/4 [x]B = -3/4

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 84E: Explain the differences between Gaussian elimination and Gauss-Jordan elimination.
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I NEED THE LAST PART D

Consider the following.
В 3 {(-1, -2), (1, 1)}, в' %3D {(-12, 0), (-4, 4)},
-1
[x]g =
(a) Find the transition matrix from B to B'.
1/4
-1/6
p-1
-1/2
1/4
(b) Find the transition matrix from B' to B.
|-12
|-8
P =
-24
-12
(c) Verify that the two transition matrices are inverses of each other.
PP-1
1
(d) Find the coordinate matrix [x]B, given the coordinate matrix [x]g.
5/4
[x]B
-3/4
Transcribed Image Text:Consider the following. В 3 {(-1, -2), (1, 1)}, в' %3D {(-12, 0), (-4, 4)}, -1 [x]g = (a) Find the transition matrix from B to B'. 1/4 -1/6 p-1 -1/2 1/4 (b) Find the transition matrix from B' to B. |-12 |-8 P = -24 -12 (c) Verify that the two transition matrices are inverses of each other. PP-1 1 (d) Find the coordinate matrix [x]B, given the coordinate matrix [x]g. 5/4 [x]B -3/4
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