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Exercise 108

Avg difficulty 2.5

Find a linearly independent subset of the following vectors that has the same span. [000],[31−5],[03−1],[−324]\begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix} , \quad \begin{bmatrix} 3 \\ 1 \\ -5 \end{bmatrix} , \quad \begin{bmatrix} 0 \\ 3 \\ -1 \end{bmatrix} , \quad \begin{bmatrix} -3 \\ 2 \\ 4 \end{bmatrix}

Lebl, Notes on Diffy Qs, §10.3 Elimination, exercise 108

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Adapted from Notes on Diffy Qs © 2008–2026 Jiří Lebl. Licensed under CC BY-SA 4.0. Source: Notes on Diffy Qs: Differential Equations for Engineers. Imported at revision 658bcae.