Let 1 3 1 3 9 9 1 3 5 (a) Find a basis for the column space of A. Answer: { Enter your answer as a vector or a list of vectors in parentheses separated by commas. For example (1,2,3,4),(5,6,7,8) (b) What is the dimension of the row space of A? (c) What is the dimension of the solution space of A? 4 -3 (d) Let v = a where a E R. Find the value of a such that v is in the solution space of A. - 3 2 a = A = 032 159

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 69E: Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of...
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Question
Let
1
3
1
1
A = 3
9
15
9
1
3
9 5
(a) Find a basis for the column space of A.
Answer: {
Enter your answer as a vector or a list of vectors in parentheses separated by commas. For example (1,2,3,4),(5,6,7,8)
(b) What is the dimension of the row space of A?
(c) What is the dimension of the solution space of A?
4
-3
(d) Let v =
a
where a E R. Find the value of a such that v is in the solution space of A.
3
2
a =
0
NWO
3
2
Transcribed Image Text:Let 1 3 1 1 A = 3 9 15 9 1 3 9 5 (a) Find a basis for the column space of A. Answer: { Enter your answer as a vector or a list of vectors in parentheses separated by commas. For example (1,2,3,4),(5,6,7,8) (b) What is the dimension of the row space of A? (c) What is the dimension of the solution space of A? 4 -3 (d) Let v = a where a E R. Find the value of a such that v is in the solution space of A. 3 2 a = 0 NWO 3 2
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