Matrices Selina Concise Solutions Chapter 9 for ICSE Class 10

Selina Publishers Solutions Chapter-9 Matrices

Matrices Selina Concise Solutions Chapter 9 for ICSE Class 10. Solutions of Exercise – 9 (A), Exercise – 9 (B), Exercise – 9 (C), Exercise – 9 (D), for Concise Selina Maths for ICSE Board Class 10th. Concise Solutions Matrices Chapter – 9 for ICSE Maths Class 10 is available here. All Solutions of Concise Selina of Chapter 9 Matrices has been solved according instruction given by council. This is the  Solutions of Chapter-9 Matrices for ICSE Class 10th. ICSE Maths text book of Concise is In series of famous ICSE writer in maths. Concise is most famous among students. 

Matrices Selina Concise Solutions Chapter 9 for ICSE Class 10

The Solutions of Concise Mathematics Chapter 9 Matrices for ICSE Class 10 have been solved.  Experience teachers Solved Chapter-9 Matrices to help students of class 10th ICSE board. Therefore the ICSE Class 10th Maths Solutions of Concise Selina Publishers helpful on  various topics which are prescribed in most ICSE Maths textbooks

Select Topics of Chapter- 9 Matrices Selina Concise Solutions 

Exercise – 9 (A),

Exercise – 9 (B),

Exercise – 9 (C),

Exercise – 9 (D),

How to Solve Concise Maths Selina Publications Chapter-9 Matrices

Note:- Before viewing Solutions of Chapter -9 Matrices of Concise Selina Maths  read the Chapter Carefully then solve all example of your text book. The Chapter- 9 Matrices is main Chapter in ICSE board .

Exercise – 9 (A) , of Chapter-9 Matrices for Concise Solutions for ICSE Class 10th Mathematics ( Selina Publishers)

 

Question 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  2 and 2  3 respectively; then their sum A + B is possible.

(ii) The matrices  and  are conformable for subtraction.

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

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

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

Answer 1

(i) False

The sum A + B is possible when the order of both the matrices A and B are same.

(ii) True

(iii) False

Transpose of a 2  1 matrix is a 1  2 matrix.

(iv) True

(v) False

A column matrix has only one column and many rows.

Question 2

Given: ,………… find x, y and z.

Answer 2

If two matrices are equal, then their corresponding elements are also equal. Therefore, we have:

x = 3,

y + 2 = 1 y = -1

z – 1 = 2  z = 3

Question 3

Solve for a, b and c if………….

Answer 3

If two matrices are equal, then their corresponding elements are also equal.

(i)

a + 5 = 2  a = -3

-4 = b + 4 b = -8

2 = c – 1  c = 3

(ii) a= 3

a – b = -1

 b = a + 1 = 4

b + c = 2

 c = 2 – b = 2 – 4 = -2

Question 4

If A = and B = ; find: (i) A + B (ii) B – A

Answer 4

Ans 5 9(a) concise

Question 5

If A=…….., B =  ………and C =…….; find:

(i) B + C (ii) A – C

(iii) A + B – C (iv) A – B +C

Answer 5

Ans 4 9(a) concise

Question 6

Wherever possible, write each of the following as a single matrix………………

Answer 6

Ans 6 9(a) concise

Question 7

Find, x and y from the following equations :……………..

Answer 7

Ans 7 9(a) concise

Question 8

Given: M =…………. , find its transpose matrix Mt. If possible, find:

(i) M + Mt (ii) Mt – M

Answer 8

Ans 8 9(a) concise

Question 9

Write the additive inverse of matrices A, B and C:

Where ……………..

Answer 9

Ans 9 exe 9(a) concise

Question 10

Given ……………………; find the matrix X in each of the following:

(i) X + B = C – A

(ii) A – X = B + C

Answer 10

Ans 10 exe 9(a) concise

Question 11

Given ………………; find the matrix X in each of the following:

(i) A + X = B

(ii) A – X = B

(iii) X – B = A

Answer 11

Ans 11 exe 9(a) concise

 Chapter-9 Matrices Exercise -9 (B) for Selina Concise Solutions for ICSE Class 10th Mathematics ( Selina Publishers)

Question 1

Evaluate:…………….

Answer 1

Ans 1 exe 9(b) concise

Question 2

Find x and y if:………………

Answer 2

Ans 2 exe 9(b) concise

Question 3

Given ; find:………………….

(i) 2A – 3B + C

(ii) A + 2C – B

Answer 3

Ans 3 exe 9(b) concise

Question 4

If……………..

Answer 4

Ans 4 exe 9(b) concise

Question 5

Given ……………..

(i) find the matrix 2A + B

(ii) find the matrix C such that:

C + B = …………..

Answer 5

Ans 5 exe 9(b) concise

Question 6

If…………… ; find the values of x, y and z.

Answer 6

Ans 6 exe 9(b) concise

Question 7

Given A =  ………………and At is its transpose matrix. Find:

(i) 2A + 3At (ii) 2At – 3A

(iii)  ………….(iv) …………….

Answer 7

Ans 7 9(b)

Question 8

Given ………………..

Solve for matrix X:

(i) X + 2A = B

(ii) 3X + B + 2A = O

(iii) 3A – 2X = X – 2B.

Answer 8

Ans 8 9(b) concise

Question 9

If ………….., show that

3M + 5N = …………..

Answer 9

Ans 9 9(b) concise

Question 10

If I is the unit matrix of order 2 x 2; find the matrix M, such that:

(i) M – 2I = …………

(ii) 5M + 3I =………….

Answer 10

Ans 10 exe 9(b) concise

Question 11

If ………………find matrix M

Answer 11

Ans 11 exe 9(b) concse

Chapter 9 – Matrices, Exercise. 9 (C) Concise Solutions (Selina Publishers)

Question 1

Evaluate: if possible:………….

Answer 1

Answer 1 9(c)

Question 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

Answer 2

Ans 2 9(c)

Ans 2

Question 3

If…………………………………

Answer 3

Ans 3 9(c) concise

Question 4

Find x and y, if:…………………..

Answer 4

Ans 4 9(c)

Question 5

If  …………., find:

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

Is A(BC) = (AB)C?

Answer 5

Answer 5

Question 6

Given  ,…………. find; if possible:

(i) AB (ii) BA (iii)A2

Answer 6

Ans 6

Question 7

If………..find …..

Answer 7

Ans 7

Question 8

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

M2 = 2M + 3I

Answer 8

Ans 8

Question 9

If …………………. and BA= M2, find the values of a and b.

Answer 9

Ans 9

Question 10

Given ………………., find:

(i) A – B (ii) A2

(iii) AB (iv) A2 – AB + 2B

Answer 10

Ans 10

Question 11

If ……………….; find:

(i) (A + B)2 (ii) A2 + B2

(iii) Is (A + B)2 = A2 + B2?

Answer 11

Ans 11

Question 12

Find the matrix A…………, if B = and B2 = B + ………A.

Answer 12

Ans 12 exe 9(c)

Question 13

If A =  ………….and A2 = I; find a and b.

Answer 13

Ans 13

Question 14

If ………….; then show that:

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

(ii) (B – A)C = BC – AC.

Answer 14

Ans 14

Question 15

If…………… , simplify:

A2 + BC.

Answer 15

Ans 15

Question 16

Solve for x and y:…………

Answer 16

Ans 16 9(c) concise

Question 17

In each case given below, find :
(a) the order of matrix M.
(b) the matrix M.

(i)………..

(ii)………..

Answer 17

Concise Solutions Matrices Exe-9 C Ans 17a

Concise Solution Exe-9C Ans 17b

Question 18

If A= ……….and B=…..Find the value of X given That……….

Answer 18

Concise Maths Solutions Exe-9C Ans 18

Question 19

If A=….., B=……. and C=……..Find AB-5C

Answer 19

Concise Maths Solutions Exe-9C Ans 19

Question 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?

Answer 20

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

Question 21

Given A=………, B=…….. and ThatAB=A+B,Find the value of a,b and c.

Answer 21

Concise Maths Solutions Exe-9C Ans-21

Question 22

If p=…..and Q=…. , then compute:

…………..true for matrix algebra?

Answer 22

Ans 22 Exe-3C Concise Maths Solutions

Ans 22 Exercise 9 C part B Concise Maths Solutions

Questions 23

Given the Matrices A=………B=…. and C=……..

find (i)ABC 9ii)ACB state whether ABC=ACB

Answer-23

Concise Maths Exe-9C Ans 23 (I)

Concise Maths Exe-9C Ans 23 ii

Question 24

If A=…,B=….and C=………find each of following if they are equal

(I) CA+B  (ii) A+CB

Answer 24

Concise Maths Exercise-9C Answer 24

From (i) and (II) we can say say that CA+B not equal A+CB

Question 25

If A= ….. and B=……Find the matrix of x such that AX=B

Answer 25

Concise Maths Exercise 9C Ans 25

Question 26

If A=…..Find (A-2I)(A-3I)

Answer 26

Ans 26 Exercise 3C Concise Maths

Question 27

If A=…. Find:…..Transpose of Matrix A

Answer 27

Ans 27 Exercise -3C Concise Maths

Question 28

If M=…..Show That…..Unit Matix

Answer 28

Question 29

If p=…..and Q=…… find x and y such that PQ=nul matrix.

Answer 29

answer 29 Exercise 9C Concise ICSE Maths

Question 30

Evaluate…………….

Answer 30

Answer 30 Exercise 9C Concise ICSE Maths

Question 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

Answer 31

(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 (vii)

 

Exercise 9 (D),Chapter-9 Matrices Concise Maths Solutions Selina Publishers

 

Question 1.

Find x and y, if:………….

Answer 1

Answer 1 Exercise 9D Concise Maths

Question 2.

Find x and y, if :…….

Answer 2 Exercise 9 D Concise Maths

Question 3

If …….find x and y,if (i)…..(ii)…

Answer 3

Answer 3 Exercise 3 D Concise Maths

Question 4

Given….X=….Write:

(i) the order of the matrix X
(ii) the matrix X.

Answer 4

Answer 4 Exercise 3 D Concise Maths

Question 5.

Evaluate…….

Answer 5

Answer 5 Exercise 3 D Concise Maths

Question 6

if A=….,B=…. and 3A x M = 2B, Find Matrix M

Answer 6

Answer 6 Exercise 9 D Concise Maths

Question 7

If………..find value of a, b, and c.

Answer 7

answer 7 Exercise 3 D Concise Maths

Question 8

if A =………  and B =………
(i) A (BA)
(ii) (AB) 

Answer 8 part (i)

Answer 8 part 1st Exercise 9 D Concise Maths

Answer 8 part (ii)

Answer 8 part 2 Exercise 9 D Concise Maths

Question 9

Find x and y, if………

Answer 9

Answer 9 Exercise 9 D Concise Maths

Question 10

If Matrix X = …… and 2X – 3Y=……..find the matrix X and Matrix Y

Answer 10

Answer 10 Exercise 9 D Concise Maths

Question 11

Given A=…….B=…. and C=….find Matrix X such that A+X = 2B+C     (2005)

Answer 11

Answer 11 Exercise 3 D Concise Maths

Question 12

Find the Value of x given that ………(2005)

Answer 12

Answer 12 Exercise 3 D Concise Maths

Question 13

If …., and I is identity matrix of the same order and At is the transpose of matrix A, find A.B + BI

Answer 13

Answer 13 Exercise 9 D Concise Maths

Question 14

Given A = …. B=…. and C=…..find matrix X such that A+2X = 2B+C

Answer 14

Answer 14 exercise 3 D Concise Maths

Question 15

Let…………. Find A2 – A + BC.

Answer 15

Answer 15 Exercise 9 D Concise Maths

Question 16

Let A =……… Find A2 + AB + B2.

Answer 16

Answer 16 Exercise 9 D Concise Maths

Question 17

If …………and 3A – 2C = 6B, find the values of a, b and c.

Answer 17

Answer 17 Exercise 9 D Concise Maths

Question 18

Given A =……………

Find the values of p and q.

Answer 18

Answer 18 Exercise 9 D Concise Maths

By comparing,

-2q = -8  q = 4

And p = 8

Question 19

Given A = …………. Find AB + 2C – 4D.

Answer 19

Answer 19 Exercise 9 D Concise Maths

Question 20

Evaluate:…………

Answer 20

Answer 20 Exercise 9 D Concise Maths

Question 21

If A=……. I =…… find ……..AxA.-5A+7I

Answer 21

Answer 21 Exercise 9D Concise Maths

Question 22

Given A = ……… And I = ……And …..Find M

Answer 22

Answer 22 Exercise 9 D Concise Maths

Question 23

A=……and B=…….if AX = B     (2016)

(i) Write the order of matrix X.

(ii) Find the matrix ‘X’

Answer 23

(i) Let the order of matrix X = m × n

Order of matrix A = 2 × 2

Order of matrix B = 2 × 1

Now, AX = B

  ∴ m = 2 and n = 1

Thus, order of matrix X = m × n = 2 × 1

Answer 23 part 2 Exercise 9 D Concise Maths

Multiplying (1) by 2, we get

4x + 2y = 8 ….(3)

Subtracting (2) from (3), we get

3x = 3

⇒ x = 1

Substituting the value of x in (1), we get

2(1) + y = 4

⇒ 2 + y = 4

⇒ y = 2

Hence The Matrix X =   x = 1 and y=2

Question 24

If A = ……..Find the matrix C where C is a 2 by 2 matrix.    (2017)

Answer 24

Answer 24 exercise 9 D Concise Maths

Question 25

Given matrix B=…… Find the matrix X if, X = B2 – 4B. Hence, solve for a and b given ………..(2017)

Answer 25

Answer 25 Exercise 9 D Concise Maths

—: End of of Matrices Selina Concise Solutions Chapter- 9 :—

 

Chapter Wise Concise Maths Solutions for ICSE Class 10th

  1. GST ( Goods and Services Tax)
  2. Banking
  3. Shares and Dividends
  4. Linear In equations in One Variable
  5. Quadratic Equations 
  6. Solving Simple Problems (Based on Quadratic Equations)
  7. Ratio and Proportion ( Including Properties and Uses )
  8. Reminder and Factor Theorems
  9. Matrices ( Currently Open)
  10. Arithmetic Progression
  11. Geometric Progression
  12. Reflection
  13. Section And Mid Point Formula 
  14. Equation of a Line
  15. Similarity (With Applications to Maps and Models )
  16. Loci (Locus and its Constructions)
  17. Circles
  18. Tangents and Intersecting Chords
  19. Constructions ( Circles)
  20. Cylinder, Cone and Spheres (Surface Area and Volume )
  21. Trigonometrical Identities
  22. Heights and Distances
  23. Graphical Representation (Histograms and Ogives)
  24. Measures of Central Tendency (Mean , Median, Quartiles and Mode)
  25. Probability

 

Other Subject Chapter-Wise Solution for ICSE

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