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Exercise 2

Avg difficulty 3.0

Which of these are matrix equivalent to each other?

  • (a)  (123456789)\begin{pmatrix}1&2&3\\ 4&5&6\\ 7&8&9\end{pmatrix}     (b)  (13−1−3)\begin{pmatrix}1&3\\ -1&-3\end{pmatrix}     (c)  (−510−101)\begin{pmatrix}-5&1&0\\ -1&0&1\end{pmatrix}     (d)  (0−105)\begin{pmatrix}0&-1\\ 0&5\end{pmatrix}     (e)  (101202131)\begin{pmatrix}1&0&1\\ 2&0&2\\ 1&3&1\end{pmatrix}     (f)  (310930−3−10)\begin{pmatrix}3&1&0\\ 9&3&0\\ -3&-1&0\end{pmatrix}

Hefferon, Linear Algebra, Maps Between Spaces, Changing Map Representations, Exercise 2

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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.