Question

Please help! Correct answer only, please! Determine the value of the following if it is possible. If it is not possible, explain. A. B. C. D. The dimensions of the matrices don't align properly to find their sum.

Answer 1

Answer: A

Explanation:

Addition and subtraction of matrices is very simple - just add (or subtract) the values of each matrix that have the same designation.

`\left[\begin{array}{c}a\\b\end{array}\right] +\left[\begin{array}{c}d\\e\end{array}\right]-\left[\begin{array}{c}g\\h\end{array}\right]=\left[\begin{array}{c}a+d-g\\b+e-h\end{array}\right]\\\\\\\\\left[\begin{array}{c}8\\5\end{array}\right]+\left[\begin{array}{c}-3\\8\end{array}\right]-\left[\begin{array}{c}-2 \\1\end{array}\right]=\left[\begin{array}{c}8+(-3)-(-2)\\5+8-1\end{array}\right]=\left[\begin{array}{c}7\\12\end{array}\right]`