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Given the following matrices, find 3A - 2B. (Hint: find 3A and 2B first and then subtract.)


A = 1 3

5 2

B = 4 9

0 3

C = 5 -2 1

0 -8 6

-4 4 -4


D = -1 2 1

6 -6 4

2 -8 3

A-5 -9

15 0

B3 9

15 6

C11 27

15 12

DNot possible

Verified Answer :

\(A= \left[\begin{array}{cc}1&3\\5&2\end{array}\right] \\ \\3A=\left[\begin{array}{cc}3&9\\15&6\end{array}\right] \\ \\B= \left[\begin{array}{cc}4&9\\0&3\end{array}\right] \\ \\2B= \left[\begin{array}{cc}8&18\\0&6\end{array}\right] \\ \\3A-2B=\left[\begin{array}{cc}3&9\\15&6\end{array}\right]- \left[\begin{array}{cc}8&18\\0&6\end{array}\right]=\left[\begin{array}{cc}3-8&9-18\\15-0&6-6\end{array}\right]= \\ \\=\left[\begin{array}{cc}-5&-9\\15&0\end{array}\right]\)