16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 2.2.4

Vector Spaces

Mathematics — Linear Algebra · spanning-set-for-subspace

Problem

Let WW be the set of all (x1,x2,x3,x4,x5)(x_1, x_2, x_3, x_4, x_5) in R5R^5 which satisfy 2x1−x2+43x3−x4=02x_1 - x_2 + \tfrac{4}{3}x_3 - x_4 = 0 x1+23x3−x5=0x_1 + \tfrac{2}{3}x_3 - x_5 = 0 9x1−3x2+6x3−3x4−3x5=0.9x_1 - 3x_2 + 6x_3 - 3x_4 - 3x_5 = 0. Find a finite set of vectors which spans WW.

Related theory

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