# Find the matrices: a)A + B b) A - B c) -4A d)3A + 2B A=begin{bmatrix}4 & 1 3 & 2 end{bmatrix} ,B=begin{bmatrix}5 & 9 0 & 7 end{bmatrix}

Find the matrices:
a)A + B
b) A - B
c) -4A
d)3A + 2B
$A=\left[\begin{array}{cc}4& 1\\ 3& 2\end{array}\right],B=\left[\begin{array}{cc}5& 9\\ 0& 7\end{array}\right]$
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berggansS
Step 1: Given:
We have matrices $A=\left[\begin{array}{cc}4& 1\\ 3& 2\end{array}\right],B=\left[\begin{array}{cc}5& 9\\ 0& 7\end{array}\right]$
We have to answer the following.
Step 2: Calculation
a) A+B
$⇒A+B=\left[\begin{array}{cc}4& 1\\ 3& 2\end{array}\right]+\left[\begin{array}{cc}5& 9\\ 0& 7\end{array}\right]=\left[\begin{array}{cc}9& 10\\ 3& 9\end{array}\right]$
b) A-B
$⇒A-B=\left[\begin{array}{cc}4& 1\\ 3& 2\end{array}\right]-\left[\begin{array}{cc}5& 9\\ 0& 7\end{array}\right]=\left[\begin{array}{cc}-1& -8\\ 3& -5\end{array}\right]$
c) -4A
$⇒-4A=-4\left[\begin{array}{cc}4& 1\\ 3& 2\end{array}\right]=\left[\begin{array}{cc}-16& -4\\ -12& -8\end{array}\right]$
d) 3A+2B
$⇒3A+2B=3\left[\begin{array}{cc}4& 1\\ 3& 2\end{array}\right]+2\left[\begin{array}{cc}5& 9\\ 0& 7\end{array}\right]=\left[\begin{array}{cc}12& 3\\ 9& 6\end{array}\right]+\left[\begin{array}{cc}10& 18\\ 0& 14\end{array}\right]=\left[\begin{array}{cc}22& 21\\ 9& 20\end{array}\right]$
Jeffrey Jordon