Finding a Basis and Dimension In Exercises 4750, find (a)
Chapter 4, Problem 4.50(choose chapter or problem)
In Exercises 47–50, find (a) a basis for and (b) the dimension of the solution space of the homogeneous system of linear equations.
\(-x_{1}+2 x_{2}-x_{3}+2 x_{4}=0\)
\(-2 x_{1}+2 x_{2}+x_{3}+4 x_{4}=0\)
\(3 x_{1}+2 x_{2}+2 x_{3}+5 x_{4}=0\)
\(-3 x_{1}+8 x_{2}+5 x_{3}+17 x_{4}=0\)
Text Transcription:
-x_1 +2x_2 -x_3 +2x_4 =0
-2x_1 +2x_2 +x_3 +4x_4 =0
3x_1 +2x_2 +2x_3 +5x_4 =0
-3x_1 +8x_2+5x_3 +17x_4 =0
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