Explanation
A matrix is a rectangular array of numbers arranged into columns and rows
[tex]\begin{bmatrix}{a_{11}} & {a_{21}} & {.} & {a_{1n}} \\ {a_{21}} & {.\text{.}} & {.} & {\square} \\ {a_{31}} & {.\text{.}} & {.\text{.}} & {\square} \\ {a_{41}} & {.\text{.}} & {.\text{.}} & {a_{mn}}\end{bmatrix}[/tex]where m is the number of rows and n is the number of columns
The dimensions of a matrix tells its size: the number of rows and columns of the matrix, in that order.
Step 1
check the dimension of the given functino
rows:5
columns: 4
therefore the matrix is a 5 *4 matrix: true
Step 2
the matrix shows the number of medalls for 5 countries,
we can see that the total for USA is 7, so USA has won the most overall medals in Olumpic soccer :true
Step 3
[tex]C_{3,1}[/tex]
it is
rows:3
column 1
we can see the entry for C(3,1) is
3
hence
C) false
Step 4
[tex]C_{4,1}[/tex]
it is
rows:4
column 1
it indicates Nigeria has won 1 medal in Olympic soccer
threfo