Determinants, simultaneous equations and Cramer's rule

Question 1 of 10

Cramer's rule can be used when the determinant is zero.

Question 2 of 10

The determinant of [[1, 4], [2, 6]] is ___

Question 3 of 10

Use Cramer's rule to find x: 3x + 5y = 23, 1x + 1y = 5.

Question 4 of 10

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

Question 5 of 10

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

Question 6 of 10

Use Cramer's rule to find x: 2x + 4y = 26, 1x + 1y = 9.

Question 7 of 10

Solve for y: 3x + 4y = 25 and 5x + 2y = 23.

Question 8 of 10

Find the determinant of [[2, 3], [4, 4]].

Question 9 of 10

Evaluate the 3 × 3 determinant |1 2 3; 0 1 4; 5 6 0|.

Question 10 of 10

The determinant of [[5, 5], [1, 1]] is ___