Question

The table shows a five-day forecast indicating high (H) and Low (L) temperatures in Fahrenheit. Organize the temperatures in a matrix where the first and second rows represent the High and Low temperatures respectively and identify which day will be the warmest?

Mon	Tue	Wed	Thu	Fri
H 88	H 90	H 86	H 84	H 85
L 54	L 56	L 53	L 52	L 52

Answer 1

Hint:
Here we need to write the given higher and lower values of temperatures in the form of a matrix. First, we will write the given values of temperatures in matrix and then we will identify the day in which the temperature has its highest value, the day corresponding to the given highest temperature will be the required warmest temperature.

Complete step by step solution:
A matrix is defined as the collection or set of numbers which are arranged in fixed rows and columns.
We will write the given temperatures in a matrix form, where the first row will contain high temperatures and the second row will contain Low temperatures. Thus, we get
\[\left[ \begin{array}{l}88{\rm{ }}90{\rm{ }}86{\rm{ }}84{\rm{ }}85\\54{\rm{ }}56{\rm{ }}53{\rm{ }}52{\rm{ }}52\end{array} \right]\]
We can see that the highest value of temperature in Fahrenheit is 90. We can see that the day corresponding to this temperature is Tuesday. So, we can say that Tuesday is the warmest day.

Hence, the required answer is Tuesday.

Note:
The matrix that has an equal number of rows and columns is known as a square matrix. A matrix that consists of only zero elements is known as zero matrix. When a matrix is multiplied by a constant, then to calculate the value of the resultant matrix, we multiply all the elements with the same constant. When all the rows and columns of a matrix are interchanged with each other, then the resultant matrix is known as the transpose of the original matrix. A matrix is said to be a diagonal matrix when all the elements other than the elements of the main diagonal are equal to zero.