Given: The matrix shown
To Determine: The size of the product
Solution
Determine the product of the matrix as shown below
[tex]3\begin{bmatrix}{} & {-7} & {} \\ {} & {11} & {} \\ {} & {2} & {}\end{bmatrix}=\begin{bmatrix}{} & {3\times-7} & {} \\ {} & {3\times11} & {} \\ {} & {3\times2} & {}\end{bmatrix}=\begin{bmatrix}{} & {-21} & {} \\ {} & {33} & {} \\ {} & {6} & {}\end{bmatrix}[/tex]
State how to describe a matrix
A matrix can be described by the number of its rows by the number of its column
The product of the given matrix has 3 rows and one column
