EM-2128

Scalar multiplication of matrices

E Math · Secondary 4 · Hard · Scalar multiplication of matrices

A bakery produces two types of buns: plain and cheese. Each day, three shops receive buns as shown in matrix

B

B = \begin{pmatrix} 15 & 10 & 5 \\8 & 12 & 7 \end{pmatrix}

Rows represent plain and cheese buns respectively; columns represent Shops 1, 2 and 3.

Find the matrix that represents the total number of buns delivered to each shop in 5 days.

$\begin{pmatrix} 20 & 15 & 10 \\13 & 17 & 12 \end{pmatrix}$
$\begin{pmatrix} 75 & 50 & 25 \\40 & 60 & 35 \end{pmatrix}$
$\begin{pmatrix} 3 & 2 & 1 \\2 & 3 & 2 \end{pmatrix}$
$\begin{pmatrix} 25 & 20 & 15 \\16 & 24 & 14 \end{pmatrix}$

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