Question

type the correct answer in each box
$a = \

$$\begin{bmatrix}-3&1&0&7\\\\5&-6&1&3\\\\8&2&6&-5\\end{bmatrix}$$

$ $b = \

$$\begin{bmatrix}5&3&-7&-5\\\\0&1&6&-6\\\\5&-4&9&3\\end{bmatrix}$$

$
the elements of $a + b$ are represented by $x_{ij}$ and the elements of $a - b$ are represented by $y_{ij}$, where $i$ and $j$ are whole numbers. so $x_{24}$ represents the element $\square$ and $y_{13}$ represents the element $\square$
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Explanation:

Step1: Identify $A_{24}$ and $B_{24}$

For $x_{24} = A_{24} + B_{24}$, find $A_{24}=3$, $B_{24}=-6$

Step2: Calculate $x_{24}$

$x_{24} = 3 + (-6) = -3$

Step3: Identify $A_{13}$ and $B_{13}$

For $y_{13} = A_{13} - B_{13}$, find $A_{13}=0$, $B_{13}=-7$

Step4: Calculate $y_{13}$

$y_{13} = 0 - (-7) = 7$

Answer:

$x_{24}$ represents the element $\boldsymbol{-3}$ and $y_{13}$ represents the element $\boldsymbol{7}$