ICSE Class 10 Maths Selina Solutions Chapter 9 Matrices

ICSE Class 10 Maths Selina Solutions Chapter 9: ICSE Class 10 Maths Selina Solutions Chapter 9 Matrices provide a detailed guide to understanding the fundamental concepts of matrices. This chapter covers various topics such as types of matrices, matrix operations, and applications of matrices.

ICSE Class 10 Maths Selina Solutions Chapter 9 Matrices Overview

ICSE Class 10 Maths Selina Solutions Chapter 9 Matrices PDF

ICSE Class 10 Maths Selina Solutions Chapter 9 Matrices PDF

ICSE Class 10 Maths Selina Solutions Chapter 9 Matrices

ICSE Class 10 Maths Selina Solutions Chapter 9 Matrices Page No: 120

1. State, whether the following statements are true or false. If false, give a reason.

(i) If A and B are two matrices of orders 3 x 2 and 2 x 3 respectively; then their sum A + B is possible.

(ii) The matrices A _{2 x 3} and B _{2 x 3} are conformable for subtraction.

(iii) Transpose of a 2 x 1 matrix is a 2 x 1 matrix.

(iv) Transpose of a square matrix is a square matrix.

(v) A column matrix has many columns and one row.

Solution:

2. Given: , find x, y and z.

Solution:

3. Solve for a, b and c if

(i)

(ii)

Solution:

4. If A = [8 -3] and B = [4 -5]; find:

(i) A + B (ii) B – A

Solution:

5. If A= , B = and C = ; find:

(i) B + C (ii) A – C

(iii) A + B – C (iv) A – B +C

Solution :

1. Evaluate:

(i) 3[5 -2]

Solution:

(ii)

Solution:

(iii)

Solution:

(iv)

Solution:

2. Find x and y if:

(i) 3[4 x] + 2[y -3] = [10 0]

Solution:

(ii)

Solution:

3.

(i) 2A – 3B + C (ii) A + 2C – B

Solution:

4.

Solution:

5.

(i) find the matrix 2A + B.

(ii) find a matrix C such that:

Solution:

ICSE Class 10 Maths Selina Solutions Chapter 9 Matrices Page No: 129

1. Evaluate: if possible:

If not possible, give reason.

Solution:

2. If and I is a unit matrix of order 2×2, find:

(i) AB (ii) BA (iii) AI

(iv) IB (v) A ² (iv) B ² A

Solution:

3. If find x and y when x and y when A ² = B.

Solution:

4. Find x and y, if:

Solution:

5.

(i) (AB) C (ii) A (BC)

Solution:

6. is the following possible:

(i) AB (ii) BA (iii) A ²

Solution:

7. Find A ² + AC – 5B.

Solution:

8. If and I is a unit matrix of the same order as that of M; show that:

M ² = 2M + 3I

Solution:

9. and BA = M ² , find the values of a and b.

Solution:

10.

(i) A – B (ii) A ² (iii) AB (iv) A ² – AB + 2B

Solution:

11.

(i) (A + B) ² (ii) A ² + B ²

(iii) Is (A + B) ² = A ² + B ² ?

Solution:

12. Find the matrix A, if B = and B ² = B + ½A.

Solution:

13. If and A ² = I, find a and b.

Solution:

14. If then show that:

(i) A(B + C) = AB + AC

(ii) (B – A)C = BC – AC.

Solution:

15. If simplify: A ² + BC.

Solution:

ICSE Class 10 Maths Selina Solutions Chapter 9 Matrices Page No: 131

1. Find x and y, if:

Solution:

2. Find x and y, if:

Solution:

3. If; ; find x and y, if:

(i) x, y ∈ W (whole numbers)

(ii) x, y ∈ Z (integers)

Solution:

4.

(i) The order of the matrix X.

(ii) The matrix X.

Solution:

5. Evaluate:

Solution:

6. 3A x M = 2B; find matrix M.

Solution:

7.

find the values of a, b and c.

Solution:

8.

(i) A (BA) (ii) (AB) B.

Solution:

9. Find x and y, if:

Solution:

10. If matrix find the matrix ‘X’ and matrix ‘Y’.

Solution:

11. Given find the matrix X such that:

A + X = 2B + C

Solution :

12. Find the value of x, given that A ² = B,

Solution:

Benefits of ICSE Class 10 Maths Selina Solutions Chapter 9 Matrices

• Clear Explanations : These solutions provide clear and detailed explanations of matrix concepts helping students understand the fundamentals and applications of matrices effectively.
• Step-by-Step Solutions : The solutions are presented step-by-step which makes it easier for students to follow along and grasp complex problems related to matrices.
• Comprehensive Coverage : The chapter covers a wide range of topics within matrices, including operations, types, and properties ensuring that students have a thorough understanding of the subject.
• Exam Preparation : By practicing with these solutions, students can better prepare for their exams, improve their problem-solving skills and gain confidence in handling matrix-related questions.
• Expert Guidance : The solutions are prepared by subject experts from Physics Wallah, ensuring that the explanations are accurate and aligned with the ICSE curriculum.