Answer:
The answer is:
[tex]\left[\begin{array}{ccc}-29&-16\\14&15\end{array}\right][/tex]
Step-by-step 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 = [tex]\left[\begin{array}{ccc}2&-3\\0&6\\\end{array}\right][/tex] and N = [tex]\left[\begin{array}{ccc}-5&-1\\2&9\\\end{array}\right][/tex]
You will then be left with:
3[tex]\left[\begin{array}{ccc}2&-3\\0&6\\\end{array}\right][/tex] + 7[tex]\left[\begin{array}{ccc}-5&-1\\2&9\\\end{array}\right][/tex]
when then need to add these together:
1) First Multiply the matrix by 3, you'll get:
[tex]\left[\begin{array}{ccc}6&-9\\0&18\\\end{array}\right] + 7\left[\begin{array}{ccc}-5&-1\\2&9\\\end{array}\right][/tex]
(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:
[tex]\left[\begin{array}{ccc}6&-9\\0&18\\\end{array}\right] + \left[\begin{array}{ccc}-35&-7\\14&63\\\end{array}\right][/tex]
3) Add the matrices:
[tex]\left[\begin{array}{ccc}6+(-35)&-9+(-7)\\0+(14)&18+(63)\\\end{array}\right][/tex]
6 - 35 = -29
-9 - 7 = -16
0 + 14 = 14
18 + 63 = 81
After solving the matrices, you get:
[tex]\left[\begin{array}{ccc}-29&-16\\14&15\end{array}\right][/tex]
