find a basis of r3 containing the vectorsjames millican cause of death

- James Aug 9, 2013 at 2:44 1 Another check is to see if the determinant of the 4 by 4 matrix formed by the vectors is nonzero. This theorem also allows us to determine if a matrix is invertible. Note that if \(\sum_{i=1}^{k}a_{i}\vec{u}_{i}=\vec{0}\) and some coefficient is non-zero, say \(a_1 \neq 0\), then \[\vec{u}_1 = \frac{-1}{a_1} \sum_{i=2}^{k}a_{i}\vec{u}_{i}\nonumber \] and thus \(\vec{u}_1\) is in the span of the other vectors. . There is an important alternate equation for a plane. As long as the vector is one unit long, it's a unit vector. Then \(A\) has rank \(r \leq n

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