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Class 10 Mathematics Chapter 3 Test 2 | Matrices and Determinants | Unit Wise Class Test
Class 10 Math Chapter 3 Test 2
Class 10 Mathematics Chapter 3 Test 2 is a useful practice test based on Matrices and Determinants for Punjab Board students. This Class 10 Math Test 2 includes objective and subjective-type questions covering important concepts of matrices, order of matrices, diagonal and symmetric matrices, matrix equality, transpose, matrix operations, and multiplication. Students can use this Class 10 Mathematics Chapter 3 test to prepare according to the board examination pattern and improve their practice for the Punjab Board Class 10 Mathematics 2027 examination.
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Unit Wise Class Test
T-2
Unit 3: Matrices and Determinants
Time: 5 minutes
(Objective Type)
Total Marks: 5
1. Tick the correct answer.
(1 × 5 = 5)
(i) Order of the matrix
[
]
is:
| 5 | 2 | 1 |
| 0 | −1 | 2 |
(ii) If
[
]
=
[
]
then x =
| x − 1 | 3 |
| 2 | x + 1 |
| −2 | 3 |
| 2 | 0 |
(iii) Which of the following is diagonal matrix?
(iv) Which of the following is symmetric matrix?
(v) If
A =
[
]
and
B =
[
]
then BA =
| 5 | 3 |
| −2 |
| 1 |
Unit Wise Class Test
T-2
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) Write the order of matrix.
E =
[
]
| 0 | 1 |
| 3 | 4 |
| 5 | 6 |
(ii) If
[
]
=
[
]
then find the values of x and y.
| 2x + 1 | 4 |
| 7 | 5 |
| 9 | 4 |
| 7 | y |
(iii) Define Diagonal Matrix with example.
(vi) If
B =
[
]
then verify that
(Bt)t = B
| 7 | 6 |
| 5 | 8 |
(v) If
X =
[
]
,
Y =
[
]
and
Z =
[
]
,
then find the following: X − 4Y + Z
| 1 | −1 |
| −2 | 2 |
| 1 | 2 |
| 3 | 4 |
| 3 | 0 |
| 0 | −2 |
(vi) If
A =
[
]
,
B =
[
]
and
C =
[
]
,
then verify the following:
3(A + B) = 3A + 3B
| 2 | 3 |
| −3 | 2 |
| 3 | 4 |
| 5 | 6 |
| 1 | −2 |
| 0 | 5 |
Note: Answer the following Questions.
(4 + 4 = 8)
3. If
A =
[
]
and
B =
[
]
,
then find AB and its order.
| 5 | 3 |
| −2 |
| 1 |
4. If
A =
[
]
and
B =
[
]
,
then verify that:
(A − B)t = At − Bt
| 6 | −2 |
| 0 | 3 |
| 8 | −1 |
| 3 | 0 |
