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Exercise 6

Avg difficulty 3.0

Find the rank of each matrix.

  • (a)  (2131−12103)\begin{pmatrix}2&1&3\\ 1&-1&2\\ 1&0&3\end{pmatrix}     (b)  (1−123−36−22−4)\begin{pmatrix}1&-1&2\\ 3&-3&6\\ -2&2&-4\end{pmatrix}     (c)  (132511643)\begin{pmatrix}1&3&2\\ 5&1&1\\ 6&4&3\end{pmatrix}     (d)  (000000000)\begin{pmatrix}0&0&0\\ 0&0&0\\ 0&0&0\end{pmatrix}

Hefferon, Linear Algebra, Vector Spaces, Vector Spaces and Linear Systems, Exercise 6

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Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.