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Problem 8 Given the following matrices \begin{equation} A = \begin{pmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{pmatrix}, \quad B = \begin{pmatrix} 1 & 2 & 3 & 4 \\ 5 & 6 & 7 & 8 \\ 9 & 10 & 11 & 12 \end{pmatrix} \end{equation} Which of the following expressions are well defined? Select all that apply. Select all that apply. Justify. (You can write \text{``Yes''} if the expression is well defined, and \text{``No''} if not.) (a) $A + B$ (b) $AB$ (c) $BA$ (d) $B^2$

          Problem 8
Given the following matrices
\begin{equation*}
A = \begin{pmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{pmatrix}, \quad B = \begin{pmatrix} 1 & 2 & 3 & 4 \\ 5 & 6 & 7 & 8 \\ 9 & 10 & 11 & 12 \end{pmatrix}
\end{equation*}
Which of the following expressions are well defined? Select all that apply. Select all that apply. Justify.
(You can write \text{``Yes''} if the expression is well defined, and \text{``No''} if not.)
(a) $A + B$
(b) $AB$
(c) $BA$
(d) $B^2$

Problem 8
Given the following matrices

A =
< p m a t r i x >
, B =
< p m a t r i x >

Which of the following expressions are well defined? Select all that apply. Select all that apply. Justify.
(You can write “Yes” if the expression is well defined, and “No” if not.)
(a) A + B
(b) AB
(c) BA
(d) B^2

Added by Deanna B.

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