$\text { 6. } \begin{array}{rlr} \mathrm{A} & =\left[\begin{array}{ll} 2 & 0 \\ 0 & 5 \end{array}\right], & \mathrm{B}=\left[\begin{array}{lll} 3 & 7 & 8 \end{array}\right], \\ \mathrm{C} & =\left[\begin{array}{lll} 3 & 1 & 4 \\ 7 & 5 & 9 \\ 8 & 2 & 6 \end{array}\right], & \mathrm{D}=\left[\begin{array}{l} 1 \\ 5 \\ 9 \end{array}\right] \end{array}$ $\newline$ Using the matrices above, match the matrices with the types listed below. You may use each matrix once, more than once or not at all. Give one example of each type. $\newline$ i) a Row matrix $\newline$ ii) a Column matrix $\newline$ iii) a Diagonal matrix $\newline$ iv) a Square matrix $\newline$ [ $4$ ]

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Precalculus

Simplify radical expressions with variables

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\text { 6. } \begin{array}{rlr} \mathrm{A} & =\left[\begin{array}{ll} 2 & 0 \\ 0 & 5 \end{array}\right], & \mathrm{B}=\left[\begin{array}{lll} 3 & 7 & 8 \end{array}\right], \\ \mathrm{C} & =\left[\begin{array}{lll} 3 & 1 & 4 \\ 7 & 5 & 9 \\ 8 & 2 & 6 \end{array}\right], & \mathrm{D}=\left[\begin{array}{l} 1 \\ 5 \\ 9 \end{array}\right] \end{array}

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Using the matrices above, match the matrices with the types listed below. You may use each matrix once, more than once or not at all. Give one example of each type.

\newline

i) a Row matrix

\newline

ii) a Column matrix

\newline

iii) a Diagonal matrix

\newline

iv) a Square matrix

\newline

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4

]

Identify matrix $A$ : Identify matrix $A$ and check its type. $\newline$ Matrix $A = \left[\begin{array}{cc}2 & 0 \ 0 & 5\end{array}\right]$ $\newline$ This is a $2 \times 2$ matrix with zeros off the main diagonal, so it's a diagonal matrix.
Identify matrix B: Identify matrix B and check its type. $\newline$ Matrix B = \left[\begin{array}{ccc}$\newline3 & 7 & 8 $\newline$ \end{array}\right]$ $\newline$ This is a $1 \times 3$ matrix, which means it has only one row.
Identify matrix C: Identify matrix C and check its type. $\newline$ Matrix C = $\begin{bmatrix} 3 & 1 & 4 \ 7 & 5 & 9 \ 8 & 2 & 6 \end{bmatrix}$ $\newline$ This is a $3 \times 3$ matrix with different elements, so it's a square matrix.
Identify matrix D: Identify matrix D and check its type. $\newline$ Matrix D = \left[\begin{array}{c}1\5\9\end{array}\right] $\newline$ This is a $3 \times 1$ matrix, which means it has only one column.