Q27. - Algebra 2

Question

For exercises 26 and 27, use the advertisement shown at the right.

What are the dimensions of the matrix?

Step-by-Step Solution

Answer

The dimensions of matrix are $\mathbf{3}\mathbf{\times }\mathbf{3}$.

Step 1 – Description of step.

Matrix is an ordered rectangular arrangement of numbers in horizontal rows and vertical columns enclosed in brackets.

Step 2 – Description of step.

Let three columns stands for Evening, Matinee and twilight shows respectively and three rows stands for prices of movie tickets for adult, child and senior. 

Step 3 – Description of step.

Write a matrix for the prices of movie tickets for adults, children, and seniors.

$\left[\begin{array}{ccc}7.50& 5.50& 3.75\\ 4.50& 4.50& 3.75\\ 5.50& 5.50& 3.75\end{array}\right]$

Step 4 – Description of step.

Write the dimension of the matrix.

The matrix in the step 3 has $3$ rows and $3$ columns, the dimensions of matrix are $3\times 3$.

Therefore, the dimensions of matrix are $3\times 3$.