Matrices Activity Complete this assignment and submit it to the dropbox associated with the lesson. The student council is selling flowers for mother's day. They bought 400 roses for \( \$ 1.86 \) each, 150 daffodils for \( \$ 1.58 \) each, and 110 orchids for \( \$ 2.56 \) each. They sold the roses for \( \$ 3.50 \) each, the daffodils for \( \$ 2.45 \) each, and the orchids for \( \$ 4.30 \) each. 1. Organize the data into matrices. Make a \( 1 \times 3 \) of flowers by type and a \( 3 \times 2 \) of type by purchase/sale price. Flowers \( \left[\begin{array}{llll}R & D & O & R\end{array}\right] \) Purchase Price Sale Price

To organize the data into matrices, we first define the symbols for the flowers: \( R \) for roses, \( D \) for daffodils, and \( O \) for orchids. The flower type matrix can be represented as: \[ \text{Flowers} = \begin{bmatrix} R & D & O \end{bmatrix} = \begin{bmatrix} 1 & 1 & 1 \end{bmatrix} \] (for ease of understanding, we could use binary indicators or simple counts rather than letters). Next, the purchase and sale price matrix looks like this: \[ \text{Purchase Price} = \begin{bmatrix} 1.86 & 1.58 & 2.56 \end{bmatrix} \] \[ \text{Sale Price} = \begin{bmatrix} 3.50 & 2.45 & 4.30 \end{bmatrix} \] Putting both the purchase and sale prices together, we can create a \( 3 \times 2 \) matrix: \[ \text{Price Matrix} = \begin{bmatrix} 1.86 & 3.50 \\ 1.58 & 2.45 \\ 2.56 & 4.30 \end{bmatrix} \] Each row corresponds to a different flower type's purchase and sale price! Speaking of flower sales, did you know that during Mother's Day, the flower industry sees a staggering increase in sales? It's one of the busiest times for florists, with roses being the top choice. It's like a floral Olympics with beautiful bouquets competing for affection! And when it comes to matrix operations, remember that practice makes perfect! One common mistake is mixing up rows and columns when performing matrix multiplication. Always align your matrices correctly – the number of columns in the first must match the number of rows in the second. Check your dimensions before diving in to avoid tangled calculations!