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General Mathematics · Unit 2 · Matrices · Matrices and matrix arithmetic

Perform matrix multiplication manually up to 3 × 3 matrices but not limited to square matrices.

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Question 1

Perform the matrix multiplication $\begin{pmatrix} 2 & 3 \\ 1 & -1 \end{pmatrix} \begin{pmatrix} 4 & 0 & 1 \\ 2 & 5 & -2 \end{pmatrix}$ and state the resulting matrix.

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Question 2

A bakery uses matrices to track sales. Matrix \( P \) represents the number of units sold of three products (muffins, cakes, slices) at two outlets, and matrix \( Q \) represents the unit price (in dollars) for each product. Given: \[ P = \begin{pmatrix} 20 & 12 & 15 \\ 18 & 10 & 20 \end{pmatrix} \quad \text{and} \quad Q = \begin{pmatrix} 4 \\ 25 \\ 6 \end{pmatrix} \] Determine the product \( PQ \).

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