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Mathematics, 14.02.2020 01:43 my1445

Find a basis for the subspace of ℝ3R3 consisting of all vectors ⎡⎣⎢⎢x1x2x3⎤⎦⎥⎥[x1x2x3] such that 4x1+5x2−8x3=04x1+5x2−8x3=0. Hint: Notice that this single equation counts as a system of linear equations; find and describe the solutions.

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Find a basis for the subspace of ℝ3R3 consisting of all vectors ⎡⎣⎢⎢x1x2x3⎤⎦⎥⎥[x1x2x3] such that 4x1...
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