Question

this matrix represents the length and width of a rectangle:

( r=left\begin{array}{l}24 \\ 18end{array}
ight )

applying a scale factor means multiplying the length and width by the same factor to produce a similar rectangle.

use matrix multiplication to double the length and width of rectangle:

( 2 r=2 cdotleft\begin{array}{l}24 \\ 18end{array}
ight=left\begin{array}{l}a \\ bend{array}
ight )

( a=square quad b=square )

Explanation:

Step1: Multiply the first element

Multiply \(24\) by \(2\).
\(2\times24 = 48\)

Step2: Multiply the second element

Multiply \(18\) by \(2\).
\(2\times18=36\)

Answer:

\(a = 48\), \(b = 36\)