Matrices and Determinants

Maths, SSC-Punjab Class 10. This chapter is split into 68 topics and has 1,721 practice questions. The topics covered are listed below, followed by 10 free sample questions from the chapter.

Topics in this chapter

1. Solving simple matrix equations 24 questions
2. Equal matrices 24 questions
3. Linear combinations of matrices (more practice) 24 questions
4. Row, column and zero matrices 26 questions
5. Commutative and associative laws of addition 24 questions
6. AB and BA: commutative law of multiplication 26 questions
7. Determinant of a 2-by-2 matrix 28 questions
8. Orders of results of matrix operations 24 questions
9. Verifying A A-inverse = I 26 questions
10. Inverse problems from Exercise 3.5 22 questions
11. Square and rectangular matrices, principal diagonal 26 questions
12. Verifying matrix laws numerically 24 questions
13. Matrix versus determinant: key differences 22 questions
14. Negative of a matrix 26 questions
15. Finding the inverse of a 2-by-2 matrix (Exercise 3.5 style) 24 questions
16. Cramer's rule 28 questions
17. Distributive laws of matrix multiplication 28 questions
18. Finding unknowns from matrix products 24 questions
19. Conformability and order of a product 26 questions
20. Skew-symmetric matrices 26 questions
21. Matrix multiplication in daily life (purchase tables) 26 questions
22. Determinants of special matrices 26 questions
23. General solution formulae for two equations 24 questions
24. Subtraction of matrices 26 questions
25. Matrix inversion method: practice problems 24 questions
26. Word problems: ages and fractions by matrices 26 questions
27. Addition of matrices 26 questions
28. Multiplicative inverse: concept and conditions 26 questions
29. Word problems: wages, loads and speeds by matrices 26 questions
30. Symmetric matrices 26 questions
31. Multiplicative identity and powers of matrices 26 questions
32. Transpose of a matrix 28 questions
33. Reversal law of inverses: (AB) inverse = B inverse A inverse 24 questions
34. Adjoint of a 2-by-2 matrix 26 questions
35. Inverse problems with unknown entries 24 questions
36. Writing simultaneous equations in matrix form 26 questions
37. Cramer's rule: practice problems 24 questions
38. Role of mathematics in science and technology 22 questions
39. Properties of the transpose (verification) 26 questions
40. Rows, columns and elements of a matrix 26 questions
41. Product of two 2-by-2 matrices (BA) 26 questions
42. When a pair of equations has no unique solution 22 questions
43. Additive identity and additive inverse 26 questions
44. Product of two 2-by-2 matrices (AB) 28 questions
45. Review Exercise 3 style questions 28 questions
46. Finding the unknown that makes a matrix singular 26 questions
47. Classifying matrices (Exercise 3.2 style) 24 questions
48. Word problems: circuits, forces and coordinates 26 questions
49. Word problems: numbers and costs by matrices 26 questions
50. Singular and non-singular matrices 26 questions
51. Conformability for addition and subtraction 24 questions
52. Order or size of a matrix 26 questions
53. Linear combinations of matrices (Exercise 3.3 style) 28 questions
54. Products involving 3-by-3 matrices 22 questions
55. Finding the inverse of a 2-by-2 matrix 28 questions
56. Solving equations by the matrix inversion method 28 questions
57. Diagonal matrices 26 questions
58. Evaluating 2-by-2 determinants (more practice) 24 questions
59. Gabriel Cramer and applications of matrices 24 questions
60. Scalar and identity matrices 26 questions
61. Matrices - introduction and history 23 questions
62. Multiplication of a matrix by a scalar 28 questions
63. Product of a row matrix and a column matrix 24 questions
64. Inverses of special 2-by-2 matrices 24 questions
65. Exercise 3.6 style: solving pairs of equations 22 questions
66. Finding unknowns from equal matrices 26 questions
67. Products of non-square matrices 28 questions
68. Associative law of multiplication 22 questions