Subtract the following matrices and enter the final answer in the boxes below, one element per box. $$ -2\left[\begin{array}{cc}-4 & 2 \ 5 & 3\end{array} ight]-\left[\begin{array}{cc}-3 & 6 \ -1 & 7\end{array} ight]= $$ ?

Question

Subtract the following matrices and enter the final answer in the boxes below, one element per box. $$ -2\left[\begin{array}{cc}-4 & 2 \ 5 & 3\end{array}ight]-\left[\begin{array}{cc}-3 & 6 \ -1 & 7\end{array}ight]= $$ ?

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ -2\left[\begin{array}{cc}-4 & 2 \ 5 & 3\end{array}\right]-\left[\begin{array}{cc}-3 & 6 \ -1 & 7\end{array}\right]$$.
Matrices by following steps:
- step0: Solution:
  $$-2\times \left[\begin{array}{rr}{-4}&{2}\{5}&{3}\end{array}\right]-\left[\begin{array}{rr}{-3}&{6}\{-1}&{7}\end{array}\right]$$
- step1: Multiply the terms:
  $$\left[\begin{array}{rr}{8}&{-4}\{-10}&{-6}\end{array}\right]-\left[\begin{array}{rr}{-3}&{6}\{-1}&{7}\end{array}\right]$$
- step2: Rewrite the expression:
  $$\left[\begin{array}{rr}{8}&{-4}\{-10}&{-6}\end{array}\right]+\left[\begin{array}{rr}{3}&{-6}\{1}&{-7}\end{array}\right]$$
- step3: Evaluate:
  $$\left[\begin{array}{rr}{8+3}&{-4-6}\{-10+1}&{-6-7}\end{array}\right]$$
- step4: Evaluate:
  $$\left[\begin{array}{rr}{11}&{-10}\{-9}&{-13}\end{array}\right]$$
The result of subtracting the given matrices is:

$$
\begin{bmatrix}
11 & -10 \
-9 & -13
\end{bmatrix}
$$
$$ \begin{bmatrix} 11 & -10 \ -9 & -13 \end{bmatrix} $$

Subtract the following matrices and enter the final answer in the boxes below, one element per box. \( -2\left[\begin{array}{cc}-4 & 2 \\ 5 & 3\end{array}\right]-\left[\begin{array}{cc}-3 & 6 \\ -1 & 7\end{array}\right]= \) ?

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