Question

The rates for the entrance tickets at a water theme park are listed below

$\begin{array}{ccc}\text{Category}& \text{Weekday}& \text{Weekend}\\ & \text{price}& \text{price}\\ \text{Adults}& 400& 500\\ \text{Senior}& 200& 250\\ \text{Citizens}& & \\ \text{Children}& 300& 400\end{array}$

What is the dimension of the matrix formed by listing the weekday and weekend rates along the column of the matrix?

• A. $1\times 2$
• B. $1\times 3$
• C. $2\times 3$
• D. $3\times 2$

Answer 1

The correct option is D

$3\times 2$

Let $A$ be the required matrix.

Weekday and weekend rates have to be listed along the column of the matrix.

Therefore, weekday rates have to be taken along 1st column and weekend rates have to be taken along 2nd column.

$A=\left(\begin{array}{cc}400& 500\\ 200& 250\\ 300& 400\end{array}\right)$

Order of $A$ = 3 $\times$ 2