The area of a triangle can be calculated using the determinant of the matrix. From the image below: P2(x2, y2) P(x1, yı) P3(x3, y3) A(x1, 0) B(x2, 0) C(x3, 0) The coordinates of the image points above...

Extracted text: The area of a triangle can be calculated using the determinant of the matrix. From the image below: P2(x2, y2) P(x1, yı) P3(x3, y3) A(x1, 0) B(x2, 0) C(x3, 0) The coordinates of the image points above are arranged into a matrix A as follows: [X1 y1 1- A = |X2 y2 1 Lx3 Уз 1 and let the last column contain the number 1. The formula for finding the area of a triangle is: area of triangle det (A) 2 If the coordinates of the point P = (-1.4), P2 = (3, 1), and P3 = (2,6): A. Plug the coordinates of these points into matrix A. B. Using the first-row expansion method, find the minor and calculate the cofactor for each element of the first row. C. Compute the determinant of matrix A. D. Calculate the area of the triangle.