Question

Find the Value of the Above sum.

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Answer 1

$\large\bold{\underline{\underline{Answer:-}}}$

$\left[\begin{array}{ccc}-29&-16\\14&15\end{array}\right]$

$\large\bold{\underline{\underline{Explanation:-}}}$

(Presuming you wanted to add these)

From the image that is given/shown, this is matrices.

In matrices, the numbers will somewhat correlate with each other!

From what is stated, "Find 3M + 7N"

We must substitute in M and N for the pair of matrices that are given:

M = $\left[\begin{array}{ccc}2&-3\\0&6\\\end{array}\right]$  and N = $\left[\begin{array}{ccc}-5&-1\\2&9\\\end{array}\right]$

You will then be left with:

3$\left[\begin{array}{ccc}2&-3\\0&6\\\end{array}\right]$  + 7$\left[\begin{array}{ccc}-5&-1\\2&9\\\end{array}\right]$

when then need to add these together:

1) First Multiply the matrix by 3, you'll get:

$\left[\begin{array}{ccc}6&-9\\0&18\\\end{array}\right] + 7\left[\begin{array}{ccc}-5&-1\\2&9\\\end{array}\right]$

(Each number in the matrix is being multiplied by the values: 3 or 7)

2) Then Multiply the matrix by 7, and you'll get:

$\left[\begin{array}{ccc}6&-9\\0&18\\\end{array}\right] + \left[\begin{array}{ccc}-35&-7\\14&63\\\end{array}\right]$

3) Add the matrices:

$\left[\begin{array}{ccc}6+(-35)&-9+(-7)\\0+(14)&18+(63)\\\end{array}\right]$

6 - 35 = -29

-9 - 7 = -16

0 + 14 = 14

18 + 63 = 81

After solving the matrices, you get:

$\left[\begin{array}{ccc}-29&-16\\14&15\end{array}\right]$