Triangle A'B'C'is the image triangle ABC under a transformation represented by the matrix M=(3 2).If the area of the triangle A'B'C' is

Question

(9 5).
Determine the area of triangle ABC

Answer 1

To determine the area of triangle ABC, we need to find the determinant of the matrix M.

Given that M = (3 2), the determinant is calculated as follows:

det(M) = (3 * 5) - (2 * 9) = 15 - 18 = -3

Since the determinant is negative, we need to take the absolute value.

|det(M)| = |-3| = 3

Therefore, the area of triangle ABC is 3.