esk Copilot 1 + 8 2 of 4 (D A 1 1 1 1 1 2 -1 5 3 6 4. Consider A = with a corresponding rref(A) = -1 2 -41 -2 4 -2 10 9 15 [1 0 2 0 1 01-10 0 0 0 1 1 0 0 0 0 0 ⚫ State a basis for the column space of A. Choose one of the columns from A not selected as part of the basis and show how it is a linear combination of your basis. ง 5. Using the same matrix A as in the previous problem: State a basis for the mull space (kernel) of A. • Give an example of a nonzero vector in the null space that is not one of your basis vectors.
esk Copilot 1 + 8 2 of 4 (D A 1 1 1 1 1 2 -1 5 3 6 4. Consider A = with a corresponding rref(A) = -1 2 -41 -2 4 -2 10 9 15 [1 0 2 0 1 01-10 0 0 0 1 1 0 0 0 0 0 ⚫ State a basis for the column space of A. Choose one of the columns from A not selected as part of the basis and show how it is a linear combination of your basis. ง 5. Using the same matrix A as in the previous problem: State a basis for the mull space (kernel) of A. • Give an example of a nonzero vector in the null space that is not one of your basis vectors.
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
DO NUMBER 5
(Linear Alegbra & Diff. equations)
Transcribed Image Text:esk Copilot
1
+
8
2
of 4
(D
A
1
1 1
1
1
2
-1
5 3 6
4. Consider A =
with a corresponding rref(A) =
-1
2
-41
-2
4 -2 10 9
15
[1 0 2 0 1
01-10
0 0 0 1 1
0 0 0 0 0
⚫ State a basis for the column space of A.
Choose one of the columns from A not selected as part of the basis and show how it is a
linear combination of your basis.
ง
5. Using the same matrix A as in the previous problem:
State a basis for the mull space (kernel) of A.
• Give an example of a nonzero vector in the null space that is not one of your basis
vectors.
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