Find a basis for and the dimension of the solution space of the homogeneous system of linear equations. x + 4y 2z = 0 20y + 10z = 0 -5x (a) a basis for the solution space - 11 (b) the dimension of the solution space

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Find a basis for and the dimension of the solution space of the homogeneous system of linear equations.
x + 4y
2z = 0
-5x 20y + 10z = 0
(a) a basis for the solution space
↓ 1
(b) the dimension of the solution space
Transcribed Image Text:Find a basis for and the dimension of the solution space of the homogeneous system of linear equations. x + 4y 2z = 0 -5x 20y + 10z = 0 (a) a basis for the solution space ↓ 1 (b) the dimension of the solution space
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