The calculated number that fills in the blank in the added matrix A + B is 7
How to determine the number that fills in the blank
From the question, we have the following parameters that can be used in our computation:
![A = \left[\begin{array}{ccc}2&4&-9\\3&-2&5\end{array}\right]](https://img.qammunity.org/2024/formulas/mathematics/college/hcxur8u1wus5ac5lxqshh00toq7776tc3s.png)
Also, we have
![B = \left[\begin{array}{ccc}3&-1&5\\4&8&2\end{array}\right]](https://img.qammunity.org/2024/formulas/mathematics/college/fqsantcr66olrgvnppjv0nkwdouwzdvbyw.png)
Adding both matrices, we have
![A = B= \left[\begin{array}{ccc}2 + 3 & 4 - 1& - 9 + 5\\3 + 4&-2 + 8&5 + 2\end{array}\right]](https://img.qammunity.org/2024/formulas/mathematics/college/g0v9hx7x50mi8ffc755zuy4maofecwow67.png)
Evaluate the sum
![A + B = \left[\begin{array}{ccc}5&3&-4\\7&6&7\end{array}\right]](https://img.qammunity.org/2024/formulas/mathematics/college/21pa6hfj0r9i5clwgbl1f8vcgw5sdld70y.png)
By comparing
and
, we have
? = 7
Hence, the number that fills in the blank is 7
Question
Add the matrices
![A = \left[\begin{array}{ccc}2&4&-9\\3&-2&5\end{array}\right]](https://img.qammunity.org/2024/formulas/mathematics/college/hcxur8u1wus5ac5lxqshh00toq7776tc3s.png)
![B = \left[\begin{array}{ccc}3&-1&5\\4&8&2\end{array}\right]](https://img.qammunity.org/2024/formulas/mathematics/college/fqsantcr66olrgvnppjv0nkwdouwzdvbyw.png)
![A + B = \left[\begin{array}{ccc}5&3&-4\\?&6&7\end{array}\right]](https://img.qammunity.org/2024/formulas/mathematics/college/j1vxx3yjlcmlgziwvjn9ygra1a87d3mw7n.png)
What number fills in [?]