Chapter 12.1, Problem 1P

Find each sum or difference.

$\left[\begin{array}{l}23\\ -2-3\end{array}\right]+\left[\begin{array}{l}1-5\\ 32\end{array}\right]$

To determine

Find the sum or the difference.

Answer to Problem 1P

  $\left[\begin{array}{l}\text{3 -2}\\ \text{1 -1}\end{array}\right]$

Explanation of Solution

Given:

  $\left[\begin{array}{l}2\text{ 3}\\ \text{-2 -3}\end{array}\right]+\left[\begin{array}{l}\text{1 -5}\\ \text{3 2}\end{array}\right]$

Formula Used:

  $\left[\begin{array}{l}\text{a b}\\ \text{c d}\end{array}\right]+\left[\begin{array}{l}\text{e f}\\ \text{g h}\end{array}\right]=\left[\begin{array}{l}\text{a+e b+f}\\ \text{c+g d+h}\end{array}\right]$

Calculation:

  $\left[\begin{array}{l}2\text{ 3}\\ \text{-2 -3}\end{array}\right]+\left[\begin{array}{l}\text{1 -5}\\ \text{3 2}\end{array}\right]=\left[\begin{array}{l}\text{2+1 3-5}\\ \text{-2+3 -3+2}\end{array}\right]=\left[\begin{array}{l}\text{3 -2}\\ \text{1 -1}\end{array}\right]$