If A=[24−65 ] and B=[4−357], then 3A+2B=

# If $A=\left[\begin{array}{cc}2& 4\\ -6& 5\end{array}\text{\hspace{0.17em}}\right]\text{\hspace{0.17em}}and\text{\hspace{0.17em}}B=\left[\begin{array}{cc}4& -3\\ 5& 7\end{array}\right]$, then $3A+2B=$

1. A

$\left[\begin{array}{cc}6& 12\\ -18& 15\end{array}\right]$

2. B

$\left[\begin{array}{cc}14& 6\\ -8& 29\end{array}\right]$

3. C

$\left[\begin{array}{cc}8& -6\\ 10& 14\end{array}\right]$

4. D

$\left[\begin{array}{cc}14& 6\\ -28& 29\end{array}\right]$

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

$\begin{array}{l}3A+2B=3\left[\begin{array}{cc}2& 4\\ -6& 5\end{array}\right]+2\left[\begin{array}{cc}4& -3\\ 5& 7\end{array}\right]=\left[\begin{array}{cc}6& 12\\ -18& 15\end{array}\right]+\left[\begin{array}{cc}8& -6\\ 10& 14\end{array}\right]\\ =\left[\begin{array}{cc}6+8& 12-6\\ -18+10& 15+14\end{array}\right]=\left[\begin{array}{cc}14& 6\\ -8& 29\end{array}\right]\end{array}$

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)