Worksheet Chapter 2: Matrices

1. Given matrix M = [[5, -2], [3, 1]]. Calculate 2M - [[4, 1], [2, -3]].

2. Encik Rahim bought 3 adult tickets and 2 child tickets for a museum tour at a total cost of RM42. Encik Tan bought 2 adult tickets and 4 child tickets at a total cost of RM44. Using the matrix method, find the price of one adult ticket and one child ticket.

3. True or False: If det(A) = 0, matrix A is called a singular matrix and has no inverse.

4. Which of the following matrix products is undefined?

5. Fill in the blank: A matrix with an equal number of rows and columns is known as a ________ matrix.

6. Calculate the determinant of matrix P = [[6, -3], [4, 2]].

7. Given matrix Q = [[m, 4], [3, 6]]. If matrix Q has no inverse, calculate the value of m.

8. True or False: Matrix addition can be performed between two matrices of different orders.

9. Using matrix method, calculate the values of x and y that satisfy the following simultaneous linear equations: 2x + y = 5 3x - 2y = 4

10. Find the inverse matrix of K = [[4, 1], [7, 2]].