EM-2122

Scalar multiplication of matrices

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

A tour company sells tickets to City A, City B and City C at \20, \50 and \$210 respectively. The numbers of tickets sold in January and February are represented by matrix

P = \begin{pmatrix}30 & 25\\18 & 22\\12 & 15\end{pmatrix}

. The total earnings for each month are given by matrix

C = AP

. Write down matrix

A

$\begin{pmatrix}120 & 150 & 210\end{pmatrix}$
$\begin{pmatrix}120 \\150 \\210\end{pmatrix}$
$\begin{pmatrix}30 & 18 & 12\end{pmatrix}$
$\begin{pmatrix}120 & 150\\210 & 0\end{pmatrix}$

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