Determinants, simultaneous equations and Cramer's rule

Question 1 of 10

A 3 × 3 determinant can be expanded by

Question 2 of 10

The determinant of [[2, 4], [1, 3]] is ___

Question 3 of 10

Solve for y: 5x + 2y = 33 and 3x + 3y = 27.

Question 4 of 10

The area of a triangle with vertices (0, 0), (a, b) and (c, d) is

Question 5 of 10

Find the area of the triangle with vertices A(1, 2), B(4, 6) and C(7, 2) using a determinant.

Question 6 of 10

Solve for y: 1x + 3y = 14 and 1x + 5y = 20.

Question 7 of 10

For what value of k does the system 2x + 3y = 5, 4x + ky = 10 have infinitely many solutions?

Question 8 of 10

Solve for y: 3x + 2y = 7 and 1x + 4y = 9.

Question 9 of 10

The area of a triangle is always the determinant itself.

Question 10 of 10

Find the determinant of [[5, 3], [2, 1]].