For which value(s) of k does the set S = (1 1 0) (0 -1 0) (-1 1 k) form a basis for R^3?
Added by Miguel C.
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Step 1: Set up the determinant of the matrix formed by the vectors in set S: \[ \text{det}\begin{pmatrix} 1 & 1 & 0 \\ 0 & -1 & 0 \\ -1 & 1 & k \end{pmatrix} = k \] Show more…
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