1 3 3 1 3 -2 2 -1 -1 -1 0 -4 1 1 1 -5 A = B = 2 -8 1 2 -3 7 - 3 -1 -2 -8 2 -1 20. Can every vector in R be written as a linear combination of the columns of the matrix B above? Do the columns of 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
1
3
3
1
3 -2
2
-1
-1
-1
1
1
1 -5
A =
B =
-4
2 -8
1
2 -3
7
-1
-2 -8
2
-1
|
20. Can every vector in R* be written as a linear combination of
the columns of the matrix B above? Do the columns of B
span R3?
Transcribed Image Text:1 3 3 1 3 -2 2 -1 -1 -1 1 1 1 -5 A = B = -4 2 -8 1 2 -3 7 -1 -2 -8 2 -1 | 20. Can every vector in R* be written as a linear combination of the columns of the matrix B above? Do the columns of B span R3?
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