## Selina Concise Mathematics Class 10 ICSE Solutions Chapter 9 Matrices Ex 9A

These Solutions are part of Selina Concise Mathematics Class 10 ICSE Solutions. Here we have given Selina Concise Mathematics Class 10 ICSE Solutions Chapter 9 Matrices Ex 9A.

**Other Exercises**

- Selina Concise Mathematics Class 10 ICSE Solutions Chapter 9 Matrices Ex 9A
- Selina Concise Mathematics Class 10 ICSE Solutions Chapter 9 Matrices Ex 9B
- Selina Concise Mathematics Class 10 ICSE Solutions Chapter 9 Matrices Ex 9C
- Selina Concise Mathematics Class 10 ICSE Solutions Chapter 9 Matrices Ex 9D

**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 x 2 and 2 x 3 respectively; then their sum A + B is possible,**

**(ii) The matrices A 2 x3, 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 only one row.**

**Solution:**

(i) False, because the orders of both the matrices are not same,

(ii) True,

(iii) False, because transpose of a 2 x 1 matrix is a 1 x 2 matrix,

(iv) True,

(v) False, because it has only one column and may have many rows.

**Question 2.**

**Solution:**

Comparing the elements in order, we get that :

x = 3

y + 2 = 1 ⇒ y = 1 – 2 = -1

z – 1 = 2 ⇒ z = 2 + 1 = 3

Hence x = 3, y = -1 , z = 3

**Question 3.**

**Solve for a, b and c; if :**

**Solution:**

(i) Comparing the elements in order, we get

-4 = b + 4 ⇒ – b = 4 + 4 = 8 ⇒ b = – 8

a + 5 = 2 ⇒ a = 2 – 5= -3

2 = c – 1 ⇒ c = 2 + 1 = 3

Hence a = -3, b = -8, c = 3

(ii) Comparing the elements in order, we get

a = 3

a – b = – 1 ⇒ 3 – b = -1 ⇒ -b = -1 – 3 ⇒ -b = -4 ⇒ b = 4

b + c = 2 ⇒ 4 + c = 2 ⇒ c = 2 – 4 = -2

Hence a = 3, b = 4, c = – 2

**Question 4.**

**Solution:**

**Question 5.**

**Solution:**

**Question 6.**

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

**Solution:**

This is not possible because both the matrices are not of the same order.

**Question 7.**

**Find, x and y from the following equations:**

(ii) [-8 x] + [y -2] = [-3 2]

**Solution:**

Comparing, the elements of two equal martrices:

3 – x = 7 ⇒ x = -7 + 3 = -4

and y + 2 = 2 ⇒ y = 2 – 2 = 0

Hence x = – 4, y = 0

(ii) [-8 x] + [y -2] = [-3 2]

⇒ [-8 + y x – 2] = [-3 2]

Comparing the elements, we get :

-8 + y = -3 ⇒ y = -3 + 8 = 5

x – 2 = 2 ⇒ x = 2 + 2 = 4

Hence x = 4, y = 5

**Question 8.**

**Solution:**

**Question 9.**

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

**Solution:**

**Question 10.**

**Given A = [ 2 -3], B = [0 2] and C = [-1 4]; find the matrix X in each of the following :**

**(i) X + B = C – A**

**(ii) A – X = B + C**

**Solution:**

A = [2 -3], B = [0 2], C = [-1 4]

(i) X + B = C – A

X + [0 2] = [-1 4] – [2 -3]

⇒ X + [0 2] = [- 1 – 2 4 – (-3)]

X + [0 2] = [-3 4 + 3] = [-3 7]

X = [-3 7] – [0 2] = [-3 – 0 7 – 2] = [-3 5]

(ii) A – X = B + C

⇒ -X = B + C – A

⇒ X = A – B – C = [2 -3] – [0 2] – [-1 4] = [2 – 0 – (-1) -3 – 2 – 4] = [ 2 + 1 – 9] = [3 – 9]

**Question 11.**

**Solution:**

Hope given Selina Concise Mathematics Class 10 ICSE Solutions Chapter 9 Matrices Ex 9A are helpful to complete your math homework.

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