Let A be a 3×3 matrix such that 2 Nul (A) = Span 2 -31 2 is a solution of the matrix equation 0] Assume that the vector v = -12] Ах — 12 -24 Find three vectors v1, V2, V3, different from v, which are also solutions of this equation. Enter the vector vị in the form [c1 , c2 , c3]: Enter the vector V2 in the form [C1 , c2, C3]:

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
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Let A be a 3x3 matrix such that
Nul (A) = Span
2
2
-31
2 is a solution of the matrix equation
Assume that the vector v =
-12
Ax =
12
-24
Find three vectors V1, V2, V3, different from v, which are also solutions of this equation.
Enter the vector vị in the form [c1 , c2, c3]:
Enter the vector V2 in the form [C1 , c2, C3]:
Enter the vector v3 in the form [c1 , c2, C3]:
2.
Transcribed Image Text:Let A be a 3x3 matrix such that Nul (A) = Span 2 2 -31 2 is a solution of the matrix equation Assume that the vector v = -12 Ax = 12 -24 Find three vectors V1, V2, V3, different from v, which are also solutions of this equation. Enter the vector vị in the form [c1 , c2, c3]: Enter the vector V2 in the form [C1 , c2, C3]: Enter the vector v3 in the form [c1 , c2, C3]: 2.
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