A= 2. Give an example of a matrix, A, whose column space is in R³ and whose null space is in Rº. T-2 4 2 38 P -3 تو دو تن 588 6 4 2 -8 -3 -5 2 2 2 2 3. For your matrix above, is it true or false that Col A = R³ ? Why or why not? 6 Jul 2 -82 -8-3 12-2 I 2010 4 -5 2 89 and 40 O O 10 05 4 -1 30 -52 13 من O There is a pivot position in each row, Hence R6 maps onto TR³. Therefore 'Cd A= R³. -16 -32
A= 2. Give an example of a matrix, A, whose column space is in R³ and whose null space is in Rº. T-2 4 2 38 P -3 تو دو تن 588 6 4 2 -8 -3 -5 2 2 2 2 3. For your matrix above, is it true or false that Col A = R³ ? Why or why not? 6 Jul 2 -82 -8-3 12-2 I 2010 4 -5 2 89 and 40 O O 10 05 4 -1 30 -52 13 من O There is a pivot position in each row, Hence R6 maps onto TR³. Therefore 'Cd A= R³. -16 -32
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Make the most of your available time (not in a rush: write as much as possible explanation rather than an answer). Please provide a detailed response to the second question in particular. Because I feel something similar will be on my test, but I am a little lost, I would appreciate it if you could provide as much detail as possible to assist me.
Transcribed Image Text:O
2. Give an example of a matrix, A, whose column space is in R³ and whose null
space is in Rº.
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A =
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2-3
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2
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3. For your matrix above, is it true or false that Col A = R³ ? Why or why not?
6
O
2
405
4 -1
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2
89
There is a pivot position in each row, Herce
R6
1
2
4
-5
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6
2
8
40
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13
maps onto TRS. Therefore Cd A= R³.
-16
-3 2
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