Find the Sum or Difference of Two Matrices

Practice Questions

Pre-Calculus › Find the Sum or Difference of Two Matrices

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Let

$A=\begin{pmatrix} 5&1 \ 3&-7 \end{pmatrix}$ $B=\begin{pmatrix} 4&2 \ 9& 0 \end{pmatrix}$

Determine the sum .

We consider the following matrices:

$A=\begin{bmatrix} 1 & 2 &2 \ 1&2 &2 \1 &2 &2 \end{bmatrix},B=\begin{bmatrix} 1 &2 & 2 &2 \1 &2 &2 & 2\1 &2 &2 &2 \end{bmatrix}$

Find .

Add:

$\begin{bmatrix} 11& 9\ 7& -5 \end{bmatrix}+$ $\begin{bmatrix} 6& 9\ 10& 13 \end{bmatrix}$

If $\begin{bmatrix} a&b\ c&d \end{bmatrix} + \begin{bmatrix} 3&14\ 12&4 \end{bmatrix} = \begin{bmatrix} 19&2\ 4&5 \end{bmatrix}$ , what is ?

$\begin{bmatrix} 7& 16& -3\ -13& 5&8 \ 4&-2 &21 \end{bmatrix}+\begin{bmatrix} -11& 13& 4\ 6& 5& -18\ 16& 3& -9 \end{bmatrix}=$

Find the sum of the two matrices

$\bigl(\begin{smallmatrix} 1 \end{smallmatrix}\bigr) +\bigl(\begin{smallmatrix} 2&2 \end{smallmatrix}\bigr)$

For the matrices below, find the sum ( and are assumed to have the same size) . is assumed to be an odd positive integer.

$A=\begin{bmatrix}1 &1 &1 &1 \ 1&1 & 1 &1 \ \vdots&\vdots&\vdots&\vdots \ 1& 1 &1 &1 \end{bmatrix}$

$B=\begin{bmatrix} (-1)^m& (-1)^m & (-1)^m & (-1)^m \ \vdots&\vdots &\vdots &\vodts \ (-1)^m & (-1)^m & (-1)^m & (-1)^m \ (-1)^m& (-1)^m & (-1)^m & (-1)^m \end{bmatrix}$

Subtract:

$\begin{bmatrix} 2& 6\ 5& 3 \end{bmatrix}-\begin{bmatrix} 1& 7 \ 9& 2 \end{bmatrix}$

$\begin{bmatrix} 1 &3 \2 &-1 \end{bmatrix}+\begin{bmatrix} 0 &5 \ -2&6 \end{bmatrix}$

We consider the matrices and of the same size .

$A=\begin{bmatrix} 1 &1 &\cdots &1 \ 1&1 &\cdots &1 \ \vdots &\vdots &\vdots &\vdots \ 1& 1&\cdots &1 \end{bmatrix},B=\begin{bmatrix} 1 &-1 &\cdots &-1 \ 1&-1 &\cdots &-1 \ \vdots &\vdots &\vdots &\vdots \ 1& -1&\cdots &-1 \end{bmatrix}$

Find the sum .

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