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Year 12 Specialist (Unit 3 & 4) Applications of matrices

Revision of matrix algebra

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Question 1
162900

The statistics for five members of a basketball team are recorded as follows
\[\begin{array}{lllll}
\text{Player } A &12 \text{ points } & 2 \text{ rebounds }& 1 \text{ assist } & 1 \text{ foul}\\
\text{Player } B & 10 \text{ points } & 3 \text{ rebounds } & 2 \text{ assists } & 1 \text{ foul}\\
\text{Player } C & 6 \text{ points } & 4 \text{ rebounds } & 3 \text{ assists } & 2 \text{ fouls}\\
\text{Player } D & 8 \text{ points } & 2 \text{ rebounds } & 2 \text{ assists } & 2 \text{ fouls}\\
\text{Player } E & 2 \text{ points } & 5 \text{ rebounds } & 4 \text{ assists } & 0 \text{ fouls}
\end{array}\]
Express this information in a \(5 \times 4\) matrix

\(\begin{bmatrix} 12 & 2 & 1 & 1 \\ 10 & 3 & 2 & 1 \\ 6 & 4 & 3 & 2 \\ 8 & 2 & 2 & 2 \\ 2 & 5 & 4 & 0\end{bmatrix}\)

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