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Exercise 2

Avg difficulty 3.0

Where

A=(1−120)B=(5244)C=(−23−41)A=\begin{pmatrix}1&-1\\ 2&0\\ \end{pmatrix}\quad B=\begin{pmatrix}5&2\\ 4&4\\ \end{pmatrix}\quad C=\begin{pmatrix}-2&3\\ -4&1\\ \end{pmatrix}

compute or state “not defined.”

  • (a)  ABAB     (b)  (AB)C(AB)C     (c)  BCBC     (d)  A(BC)A(BC)

Hefferon, Linear Algebra, Maps Between Spaces, Matrix Multiplication, 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.