NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths 4 Determinants Ex 4.4.

- Determinants Class 12 Ex 4.1
- Determinants Class 12 Ex 4.2
- Determinants Class 12 Ex 4.3
- Determinants Class 12 Ex 4.5
- Determinants Class 12 Ex 4.6

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 12 |

Subject |
Maths |

Chapter |
Chapter 4 |

Chapter Name |
Determinants |

Exercise |
Ex 4.4 |

Number of Questions Solved |
5 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4

**Ex 4.4 Class 12 Maths Question 1.**

**Write the minors and cofactors of the elements of following determinants:**

**(i) **

**(ii) **

**Solution:**

(i) Let A =

M_{11} = 3, M_{12} = 0, M_{21} = – 4, M_{22 }= 2

For cofactors

**Ex 4.4 Class 12 Maths Question 2.**

**Write Minors and Cofactor of elements of following determinant**

**(i) **

**(ii) **

**Solution:**

(i) Minors M_{11} = = 1

**Ex 4.4 Class 12 Maths Question 3.**

**Using cofactors of elements of second row, evaluate**

**Solution:**

Given

**Ex 4.4 Class 12 Maths Question 4.**

**Using Cofactors of elements of third column, evaluate**

**Solution:**

Elements of third column are yz, zx, xy

**Ex 4.4 Class 12 Maths Question 5.**

**If and Aij is the cofactors of aij? then value of ∆ is given by**

**(a) a _{11}A_{31}+a_{12}A_{32}+a_{13}A_{33}**

**(b) a**

_{1}_{1}A_{11}+a_{12}A_{21}+a_{13}A_{31}**(c) a**

_{2}_{1}A_{11}+a_{22}A_{12}+a_{23}A_{13}**(d) a**

_{1}_{1}A_{11}+a_{21}A_{21}+a_{31}A_{31}**Solution:**

Option (d) is correct.

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