Q9. - Algebra 2

Question

For exercises 8 and 9, use the table that shows a five-day forecast indicating high (H) and low (L) temperatures.

What are the dimensions of the matrix?

Step-by-Step Solution

Answer

The dimensions of matrix are $\mathbf{2}\mathbf{\times }\mathbf{5}$.

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 five columns stands for Fri, Sat, Sun, Mon and Tue days respectively and two rows stands for high and low temperatures respectively. 

Step 3 – Description of step.

Write a matrix for high and low temperatures.

 $\left[\begin{array}{ccccc}88& 88& 90& 86& 85\\ 54& 54& 56& 53& 52\end{array}\right]$

Step 4 – Description of step.

Write the dimension of the matrix.

The matrix in the step 3 has $2$ rows and $5$ columns, the dimensions of matrix are $2\times 5$.

Therefore, the dimensions of matrix are $2\times 5$.