Ouestion 4 Straightening Г1 3 7 Given: M = 315 21 4 The first two column vectors of M are a basis B of the column space of M. Another basis for the 6, Rotate column space of M is C = {č¡,2}, where & = |1i and ē = |10 8 O Aspect rati a) If k = M find the vector k . b) Find [k 3 c) Find the change-of-basis matrix PB¬C-

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 4
Straightening
0 °
[1 3 7
Given: M = 3 1 5
|2 1
The first two column vectors of M are a basis B of the column space of M. Another basis for the
Rotate
4 Flip
6
column space of M is C = {c, č2}, where č =
11 and č2 =
10
8
7
OI Aspect ratio : Custom
3
find the vector k .
a) If k = M |4
2 Reset
b) Find [k]B
3
c) Find the change-of-basis matrix Pg¬C-
d) Use your answer in (c) to get kc
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2021/03/15
Transcribed Image Text:Photos OneDrive Z Crop & rotate Filters Adjustments 2 Undo all C Redo all Crop & rotate Question 4 Straightening 0 ° [1 3 7 Given: M = 3 1 5 |2 1 The first two column vectors of M are a basis B of the column space of M. Another basis for the Rotate 4 Flip 6 column space of M is C = {c, č2}, where č = 11 and č2 = 10 8 7 OI Aspect ratio : Custom 3 find the vector k . a) If k = M |4 2 Reset b) Find [k]B 3 c) Find the change-of-basis matrix Pg¬C- d) Use your answer in (c) to get kc Save a copy Cancel 10:12 P Type here to search 后 ENG 2021/03/15
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