b. Consider the matrix 32 A-1 0 -2 21 1 whose columns we denote by V₁, V2, and v3. Describe the solution space of the homogeneous equation Ax appropriate. 0 using a parametric description, if -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 29E
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Activity 2.4.3. Linear independence and homogeneous equations.
a. Explain why the homogeneous equation Ax
the matrix A.
b. Consider the matrix
A =
1
= 0 is consistent no matter
3 2
-1 0-2
2 1
whose columns we denote by V₁, V2, and v3. Describe the solution space
of the homogeneous equation Ax 0 using a parametric description, if
appropriate.
Transcribed Image Text:Activity 2.4.3. Linear independence and homogeneous equations. a. Explain why the homogeneous equation Ax the matrix A. b. Consider the matrix A = 1 = 0 is consistent no matter 3 2 -1 0-2 2 1 whose columns we denote by V₁, V2, and v3. Describe the solution space of the homogeneous equation Ax 0 using a parametric description, if appropriate.
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