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Question

Find (a) a basis for and (b) the dimension of the solution space of the homogeneous system of linear equations.

x_{1} − 3x_{2} + x_{3} + x_{4} = 0

2x_{1} + x_{2} − x_{3} + 2x_{4} = 0

x_{1} + 4x_{2} − 2x_{3} + x_{4} = 0

5x_{1} − 8x_{2} + 2x_{3} + 5x_{4} = 0

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Math

Algebra

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