Avaluate $$ \left(\begin{array}{cc}3 & -2 \ -7 & 5\end{array} ight)+2\left(\begin{array}{cc}-2 & 4 \ 3 & -1\end{array} ight) $$

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Avaluate $$ \left(\begin{array}{cc}3 & -2 \ -7 & 5\end{array}ight)+2\left(\begin{array}{cc}-2 & 4 \ 3 & -1\end{array}ight) $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \left(\begin{array}{cc}3 & -2 \ -7 & 5\end{array}\right)+2\left(\begin{array}{cc}-2 & 4 \ 3 & -1\end{array}\right) $$.
Matrices by following steps:
- step0: Solution:
  $$\left[\begin{array}{rr}{3}&{-2}\{-7}&{5}\end{array}\right]+2\times \left[\begin{array}{rr}{-2}&{4}\{3}&{-1}\end{array}\right]$$
- step1: Multiply the terms:
  $$\left[\begin{array}{rr}{3}&{-2}\{-7}&{5}\end{array}\right]+\left[\begin{array}{rr}{-4}&{8}\{6}&{-2}\end{array}\right]$$
- step2: Evaluate:
  $$\left[\begin{array}{rr}{3-4}&{-2+8}\{-7+6}&{5-2}\end{array}\right]$$
- step3: Evaluate:
  $$\left[\begin{array}{rr}{-1}&{6}\{-1}&{3}\end{array}\right]$$
The result of the matrix addition is:

$$
\begin{pmatrix}
-1 & 6 \
-1 & 3
\end{pmatrix}
$$
The result is the matrix $$\begin{pmatrix} -1 & 6 \ -1 & 3 \end{pmatrix}$$.

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