Question

1. The rates for the entrance tickets at a water theme park are listed below:
Write down the matrices for the rates of entrance tickets for adults, children and senior
citizens. Also find the dimensions of the matrices.

Answer 1

$\mathbb{X}=\left[\begin{array}{cc}400&500\end{array}\right]$
$\mathbb{Y}=\left[\begin{array}{cc}200&250\end{array}\right]$
And $\mathbb{Z}=\left[\begin{array}{cc}300&400\end{array}\right]$
Here, X represents matrix of adult in which R₁ is rates of week days and R₂ is rates of week end.
Similarly, Y represents matrix of children in which R₁ is week days and R₂ is week end rates . And Z represents matrix of senior citizen in which R₁ and R₂ are week days rates and week end rates respectively.

Here it is clear that dimension of X , Y and Z is 2 × 1
Because number of rows = 2 and number of columns = 1
That's why , theseknown as horizontal matrices.