Question

The matrices show the number of indoor and outdoor volunteers in different age groups. a)Create one matrix that shows the total number of indoor and outdoor volunteers in different age groups. Name the matrix T. Show your work.b)What is the value of the element at t_22 and what does that value indicate?c)Create a matrix by subtracting the men’s matrix from the women’s matrix. Name the matrix D. Show your work.d) What is the value of the element at d_21 and what does that value indicate?

Answer 1

To create a single matrix that shows the total number of outdoors ans indoors by age, we can add the two matrices:

`T=\begin{bmatrix}{17} & 35{} \\ {}8 & 26{}\end{bmatrix}+\begin{bmatrix}{}9 & 20{} \\ {2}4 & 23{}\end{bmatrix}`

Then we add:

`T=\begin{bmatrix}{26} & {55} \\ {32} & {49}\end{bmatrix}`

b) The value of:

`T_(2,2)`

Is the value of the second column in the secfond row. In this case, T_22 = 49

c) To substract the men's matrix from the women's matrix:

`\begin{bmatrix}{9} & {20} \\ {24} & {23}\end{bmatrix}-\begin{bmatrix}{17} & {35} \\ {8} & {26}\end{bmatrix}=\begin{bmatrix}{-8} & {-15} \\ {16} & {-3}\end{bmatrix}=D`

d) The value of

`d_(2,1)=16`

The first number is the row number, and the second number is the column number