Let A be a 3x3 matrix such that Assume that the vector V = H -2 is a solution of the matrix equation Enter the vector V₁1 in the form [C₁, C2, C3]: Nul (A) = Span -12 12 -24 Find three vectors V₁, V₂, V3, different from V, which are also solutions of this equation. Enter the vector V2 in the form [C1, C2, C3]: Enter the vector V3 in the form [C1, C2, C3]: ([] []) 2 " Ax=

Elementary Linear Algebra (MindTap Course List)
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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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Let A be a 3x3 matrix such that
Assume that the vector V =
E
-2 is a solution of the matrix equation
3
Enter the vector V₁ in the form [C₁, C2, C3]:
-12
12
-24
Find three vectors V₁, V₂, V3, different from V, which are also solutions of this equation.
Enter the vector V₂ in the form [C1, C2, C3]:
Nul (A) = Span
(3)
ED
Enter the vector V3 in the form [C1, C2, C3]:
Ax=
Transcribed Image Text:Let A be a 3x3 matrix such that Assume that the vector V = E -2 is a solution of the matrix equation 3 Enter the vector V₁ in the form [C₁, C2, C3]: -12 12 -24 Find three vectors V₁, V₂, V3, different from V, which are also solutions of this equation. Enter the vector V₂ in the form [C1, C2, C3]: Nul (A) = Span (3) ED Enter the vector V3 in the form [C1, C2, C3]: Ax=
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