Chapter 2.3, Problem 4CFU

To determine

To find: who is correct and why.

Answer to Problem 4CFU

Anthony is correct because the dimension is not $3\times 3$ .

Explanation of Solution

Given information:

The given matrix is as follows:

  $\left[\begin{array}{ccc}\begin{array}{l}3\\ -4\\ 0\\ 2\end{array}& \begin{array}{l}2\\ 2\\ -1\\ 2\end{array}& \begin{array}{l}3\\ 0\\ 2\\ 5\end{array}\end{array}\right]$

Sarah says it is third order matrix whereas Anthony disagrees.

Calculation:

For a matrix to be of $n^{\text{th}}$ order it should have $n$ number of columns and $n$ number of rows.

Since the given matrix has 4 rows and 3 columns. Thus, it is not 3 ^rd order matrix and Anthony is correct.