A = -4 9 -7 -7 5 4-4-9-9 11 16 7 5 6 -9 -7 -8 11 -6 -7 -7 13 -8 5 6 -9 -7-9 -6 18 7 8 -7 -8 11 7 -34 B =
A = -4 9 -7 -7 5 4-4-9-9 11 16 7 5 6 -9 -7 -8 11 -6 -7 -7 13 -8 5 6 -9 -7-9 -6 18 7 8 -7 -8 11 7 -34 B =
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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Question
a. Reduce the following to row echelon forms
b. Do the columns of A span \mathbb{R}^4? Why or why not?
c.Do the columns of B span \mathbb{R}^4? Why or why not?
d. Which (if any) columns of B may be individually deleted to leave a 4 by 4 matrix whose columns span \mathbb{R}^4? You need to consider what happens when you delete each and every column individually here. Can you delete more than one column from B and be left with a matrix whose columns span \mathbb{R}^4?
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