The matrix (5k 0)

Question

(0 k-2) represents an enlargement with the origin as source. Find k

Answer 1

To find the value of k in the given matrix, we can compare the coordinates of a known point before and after the enlargement.

Let's take the point (1, 0) as our known point.

Before the enlargement:
(1, 0)

After the enlargement:
(5k, 0)

Since the enlargement is centered at the origin, we can see that the x-coordinate of the point is multiplied by 5k, and the y-coordinate remains the same.

So comparing the coordinates, we can write:

4k = 1

Solving this equation, we get:

k = 1/4 = 0.25