7. Show that 3-{(; ) ( ) ( )} -1 2 S = 2 1 6 9 is linearly dependent in M22. Write one of the vectors as a linear combination of the others.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 50EQ
icon
Related questions
Question
7.
Show that
-{( ) ( !) (; :)}
-1 2
6 9
S =
3
2 1
is linearly dependent in M23. Write one of the vectors as a linear combination
of the others.
8.
Find a basis for the solution space of
Iị + x2 - X3 + 2x4 = 0
%3D
X4 = 0
3x1 + 4x2 – 2x3 + 5x4 = 0
12 + 13 -
-
Transcribed Image Text:7. Show that -{( ) ( !) (; :)} -1 2 6 9 S = 3 2 1 is linearly dependent in M23. Write one of the vectors as a linear combination of the others. 8. Find a basis for the solution space of Iị + x2 - X3 + 2x4 = 0 %3D X4 = 0 3x1 + 4x2 – 2x3 + 5x4 = 0 12 + 13 - -
Expert Solution
steps

Step by step

Solved in 2 steps with 2 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
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage