ML Aggarwal Matrices Exe-8.1 Class 10 ICSE Maths Solutions. We Provide Step by Step Answer of Exe-8.1 Questions for Matrices as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-10.

## ML Aggarwal Matrices Exe-8.1 Class 10 ICSE Maths Solutions

Board | ICSE |

Subject | Maths |

Class | 10th |

Chapter-8 | Matrices |

Writer / Book | Understanding |

Topics | Solutions of Exe-8.1 |

Academic Session | 2024-2025 |

**Matrices Exe-8.1 Questions**

ML Aggarwal Class 10 ICSE Maths Solutions

Page-142

**Question-1. Classify the following matrices:**

**Answer :**

(i) It is square matrix of order 2

(ii) It is row matrix of order 1 × 3

(iii) It is column matrix of order 3 × 1

(iv) It is matrix of order 3 × 2

(v) It is matrix of order 2 × 3

(vi) It is zero matrix of order 2 × 3

**Question -2**

(i) If a matrix has 4 elements, what are the possible order it can have ?

(ii) If a matrix has 8 elements, what are the possible order it can have ?

**Answer:**

(i) It can have 1 × 4, 4 × 1 or 2 × 2 order

(ii) It can have 1 × 8, 8 × 1,2 × 4 or 4 × 2 order

**Matrices Exe-8.1 Questions**

ML Aggarwal Class 10 ICSE Maths Solutions

Page-143

**Question -3. **Construct a 2 x 2 matrix whose elements a_{ij} are given by

(i) a_{ij} = 2i – j

(ii) a_{ij} = i.j

**Answer:**

**Question -4. **Find the values of x and y if :

**Answer:**

Comparing corresponding elements,

2x + y = 5 …(i)

3x – 2y = 4 …(ii)

Multiply (i) by 2 and (ii) by ‘1’ we get

4x + 2y = 10, 3x – 2y = 4

Adding we get, 7x = 14 ⇒ x = 2

Substituting the value of x in (i)

2 x 2 + y = 5 ⇒ 4 + y = 5

y = 5 – 4 = 1

Hence x = 2, y = 1

**Question- 5. **Find the value of x if

**Answer:**

Comparing the corresponding terms, we get.

-y = 2

⇒ y = -2

3x + y = 1

3x = 1 – y

Substituting value of y

3x = 1 – (-2)

3x = 1 + 2

3x = 3

x = 3/3

x = 1

Therefore x = 1 and y = -2

**Question -6**

If ,find values of x and y

**Answer:**

Comparing the corresponding terms, we get.

x + 3 = 5

⇒ x = 5 – 3 = 2

⇒ y – 4 = 3

⇒ y = 3 + 4 = 7

x = 2, y = 7

**Question- 7. **Find the values of x, y and z if

**Answer:**

Comparing the corresponding elements of equal Matrices

x + 2 = -5

⇒ x = -5 – 2 = -7

5z = -20

z = -20/5

z = – 4

y^{2} + y – 6 = 0

y^{2} + 3y – 2y – 6 = 0

y (y + 3) – 2 (y + 3) = 0

y + 3 = 0 or y – 2 = 0

y = -3 or y = 2

So x = -7, y = -3, 2 and z = -4

**Question -8. **Find the values of x, y, a and b if

**Answer:**

Comparing corresponding elements

x – 2 = 3, y = 1

x = 3 + 2 = 5

a + 2b = 5 ……(i)

3a – b = 1 ……..(ii)

Multiply (i) by 1 and (ii) by 2

a + 2b = 5 ……(i)

6a – 2b = 2 ……..(ii)

adding both equation

7a = 7

a = 7/7

a = 1

Substituting the value of a in Equ (i)

1 + 2b = 5

2b = 5 -1

2b = 4

b = 4/2

b = 2

**Question -9. **Find the values of a, b, c and d if

**Answer -9**

Comparing the corresponding terms, we get.

3 = d ⇒ d = 3

⇒ 5 + c = – 1

⇒ c = -1 – 5

⇒ c = -6

a + b = 6 and ab = 8

Now using (a – b)^{2} = (a + b)^{2} – 4 ab

(6)^{2} – 32 = 36 – 32 = 4 = (± 2)^{2}

a – b = ± 2

If a – b = 2

a + b = 6

Adding the both equations

2a = 4

a = 4/2

a = 2

b = 6 – 4

b = 2

now

a – b = -2

And a + b = 6

Adding equations

2a = 4

a = 4/2

a = 2

Also, b = 6 – 2 = 4

a = 2 and b = 4

— : End of ML Aggarwal Matrices Exe-8.1 Class 10 ICSE Maths Solutions :–

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