Find bases for the null space and row space of A. < 1 2 4 5 7 3 -10 -4 -1 -11 -1 0 -2-1 -3 0466 Enter the basis for the null space, and the row space of the matrix A. Null space of A is: V₁ = [i V2= [i i Row space of A is: r₁ = r₂ = [1, [i r3 = [i + 1, i i 1]T i i ] 1, i ] + i i ]

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section: Chapter Questions
Problem 10RQ
icon
Related questions
Question
Pls fill all correctly thanksss.
Find bases for the null space and row space of A.
1
2
4
5
7
3
-10 -4 -1 -11
A =
-1
0
-2-1
-3
2
0
466
Enter the basis for the null space, and the row space of the matrix A.
Null space of A is:
V₁ =
[i
+
V2=
[i
i
i
+
Row space of A is:
r₁ =
r2 =
r3 =
[1,
i
1]T
]
i
i
]
[i
i
1,
i
i
i
]
Transcribed Image Text:Find bases for the null space and row space of A. 1 2 4 5 7 3 -10 -4 -1 -11 A = -1 0 -2-1 -3 2 0 466 Enter the basis for the null space, and the row space of the matrix A. Null space of A is: V₁ = [i + V2= [i i i + Row space of A is: r₁ = r2 = r3 = [1, i 1]T ] i i ] [i i 1, i i i ]
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning