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Class 10 Mathematics Chapter 3 Test 1 | Matrices and Determinants | Punjab Board paper pattern 2027
Class 10 Math Chapter 3 Test 1
Class 10 Mathematics Chapter 3 Test 1 on Matrices and Determinants is designed according to the Punjab Board examination pattern. This Class 10 Math Test 1 covers important concepts of Matrices and Determinants and provides useful practice for students preparing for the Class 10 Mathematics Board Exam 2027. Students can use this Chapter 3 Mathematics Test for revision, self-assessment, and board exam preparation.
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Unit Wise Class Test
Test-1
Unit 3: Matrices and Determinants
Time: 5 minutes
(Objective Type)
Total Marks: 5
1. Tick the correct answer.
(1 × 5 = 5)
(i) Adjoint of a matrix
A =
is:
| 1 | −1 |
| 2 | 0 |
(ii) A matrix A is called singular if:
(iii) Which of the following is a linear equation?
(iv) If
=
then a =:
| a + 2 |
| 2 + 1 |
| 7 |
| 3 |
(v) Determinant of the matrix
A =
is:
| 3 | 0 |
| 0 | 0 |
Unit Wise Class Test
Test-1
Unit 3: Matrices and Determinants
Time: 35 minutes
(Subjective Type)
Total Marks: 20
2. Write short answers to the following questions:
(6 × 2 = 12)
(i) Find AB and BA, if possible.
A =
,
B =
| 1 | −2 |
| 3 |
| −4 |
(ii) Verify each statement, using
A =
,
B =
and
C =
.
AB ≠ BA
| 5 | 1 |
| −1 | 4 |
| 2 | −1 |
| 0 | 3 |
| 5 | 1 |
| 1 | 4 |
(iii) Find the values of each of the determinant.
| 3 | 8 |
| 0 | 2 |
(iv) Find the value of x when
A =
is a singular matrix.
| x | 6 |
| 5 | 15 |
(v) Find multiplicative inverse of the following matrices:
| 40 | 8 |
| 5 | 2 |
(vi) Solve by matrix inversion method, if possible.
3x + 2y = 2
x − 2y = −2
x − 2y = −2
Note: Answer the following Questions.
(4 + 4 = 8)
3. If
[
]
=
[
],
then find the values of a and b.
| 4 | a |
| b | 3 |
| 6 |
| 6 |
| 6 |
| 3 |
4. An electrical engineer wants to determine the current
in two branches A and B of a simple electrical circuit.
The system of the equations is:
x + y = 7
2x − y = 2
where x is the current in branch A and y is the current in
branch B. Find x and y by using matrices.
2x − y = 2
