Matrices Exe- 9C Concise Class-10 ICSE Maths Selina Solution Ch-9. In this article you would learn Multiplication among Matrices. We Provide Step by Step Solutions / Answer of questions for Selina Concise Maths. Visit official Website CISCE for detail information about ICSE Board Class-10 Mathematics.
Matrices Exe- 9C Concise Class-10 ICSE Maths Selina Solution Ch-9
| Board | ICSE |
| Publications | Selina |
| Subject | Maths |
| Class | 10th |
| Chapter-9 | Matrices |
| Writer | R.K. Bansal |
| Exe-9C | Multiplication among Matrices |
| Edition | 2025-2026 |
Multiplication among Matrices
Matrices Exe- 9C Concise Class-10 ICSE Maths Selina Solution Ch-9.
Que-1: Evaluate: if possible: ………
Ans:
Que-2: If ………………and I is a unit matrix of order 2 2, find:
(i) AB (ii) BA (iii) AI
(iv) IB (v) A2 (vi) B2A
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Que-3: If …………
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Que-4: Find x and y, if: ………
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Que-5: If …………., find:
(i) (AB)C (ii) A(BC)
Is A(BC) = (AB)C?
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Que-6: Given ,…………. find; if possible:
(i) AB (ii) BA (iii)A2
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Que-7: If………..find …..
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Que-8: If M = ………….. and I is a unit matrix of the same order as that of M; show that:
M2 = 2M + 3I
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Que-9: If ………… and BA= M2, find the values of A and B.
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Que-10: Given ………………., find:
(i) A – B (ii) A2
(iii) AB (iv) A2 – AB + 2B
Ans:
Que-11: If ……………….; find:
(i) (A + B)2 (ii) A2 + B2
(iii) Is (A + B)2 = A2 + B2?
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Que-12: Find the matrix A…………, if B = and B2 = B + ………A.
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Que-13: If A = ………….and A2 = I; find a and b.
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Que-14: If ………….; then show that:
(i) A (B + C) = AB + AC
(ii) (B – A)C = BC – AC.
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Que-15: If…………… , simplify: A2 + BC.
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Que-16: Solve for x and y: ………
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Que-17: In each case given below, find :
(a) the order of matrix M.
(b) the matrix M.
(i)………..
(ii)………..
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Que-18: If A= ……….and B=…..Find the value of X given That ……….
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Que-19: If A=….., B=……. and C=……..Find AB-5C
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Que-20: If A and B are any two 2 x 2 matrices such that AB = BA = B and B is not a zero matrix, What can you say about the matrix A?
Ans: AB = BA = B
But it is possible, when A = 0 or B = 0
But B is not a zero matrix (given)
A is a zero matrix or A is an identity matrix
Que-21: Given A=………, B=…….. and That AB=A+B, Find the value of a,b and c.
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Que-22: If p=…..and Q=…. , then compute: ……..true for matrix algebra?
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Que-23: Given the Matrices A=………B=…. and C=…….. find (i)ABC (ii)ACB state whether ABC=ACB
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Que-24: If A=…,B=….and C=……… find each of following if they are equal (I) CA+B (ii) A+CB
Ans:
From (i) and (II) we can say say that CA+B not equal A+CB
Que-25: If A= ….. and B=……Find the matrix of x such that AX=B
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Que-26: If A=…..Find (A-2I)(A-3I)
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Que-27: If A=…. Find:…..Transpose of Matrix A
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Que-28: If M=…..Show That…..Unit Matix
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Que-29: If p=…..and Q=…… find x and y such that PQ=nul matrix.
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Que-30: Evaluate…………….
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Que-31: State, with reason, whether the following are true or false. A, B and C are matrices of order 2 x 2.
(i) A + B = B + A
(ii) A – B = B – A
(iii) (B . C). A = B . (C . A) ……………
(vii) A² – B² = (A + B) (A – B)
(viii) (A – B)² = A² – 2 A . B + B²
Ans:
(i) True : Because addition of matrices is commutative.
(ii) False : Subtraction of matrices is not commutative.
(iii) True : Multiplication of matrices is associative.
(iv) True: Multiplication of matrices is distributive over addition.
(v) True : As given above in (iv)
(vi) True : As given above in (iv)
(vii) False : Laws of algebra for factorization and expansion are not applicable to matrices.
(viii) False, As given above in
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