Chapter A.4, Problem 1PE

a. A _______ is a rectangular array of numbers. The order of a matrix is $m\times n$ where $m$ is the number of _______ and $n$ is the number of _______.

b. A matrix that has exactly one column is called a _______ matrix. A matrix that has exactly _______ row is called a row matrix, and a matrix with the same number of rows and columns is called a _______ matrix.

c. Given the system of equations shown, matrix A is called the _______ matrix. The matrix B is called the _______ matrix.

$\begin{array}{c}3x-2y=6\\ 4x+5y=9\end{array}A=\left[\begin{array}{cc}3& -2\\ 4& 5\end{array}\right]\text{B}=\left[\begin{array}{cc}3& -2\\ 4& 5\end{array}|\begin{array}{c}6\\ 9\end{array}\right]$

d. The matrix A is said to be written in reduced _______ form.

$A=\left[\begin{array}{ccc}1& 0& 8\\ 0& 1& 2\end{array}\right]$