# NCERT Solutions for Class 12 Maths Determinants

Hi Students, Welcome to **Amans Maths Blogs (AMB)**. In this post, you will get the * NCERT Solutions for Class 12 Maths Determinants Exercise 4.2*. This

**can be downloaded in PDF file. The downloading link is given at last.**

*NCERT Solutions** NCERT Solutions for Class 12 Maths* are not only the solutions of Maths exercise but it builds your foundation of other important subjects. Getting knowledge of depth concept of

*like Algebra, Calculus, Trigonometry, Coordinate Geometry help you to understand the concept of Physics and Physical Chemistry.*

**CBSE Class 12**^{th}Maths* CBSE Class 12^{th}* is an important school class in your life as you take some serious decision about your career. And out of all subjects, Maths is an important and core subjects. So

*is major role in your exam preparation as it has detailed chapter wise solutions for all exercise.*

**CBSE NCERT Solutions for Class 12**^{th}MathsAs we know that all the schools affiliated from CBSE follow the NCERT books for all subjects. You can check the **CBSE NCERT Syllabus**. Thus, * NCERT Solutions* helps the students to solve the exercise questions as given in

*.*

**NCERT Books**## NCERT Solutions for Class 12 Maths Determinants Exercise 4.2

Using the property of determinants and without expanding in Exercises 1 to 14, prove that:

**NCERT Solutions for Class 12 Maths Determinants ****Exercise**** 4.2: Ques No 1.**

**NCERT Solutions:**

If any two rows (or columns) of a determinant are identical (all corresponding elements are same), then value of determinant is zero.

**NCERT Solutions for Class 12 Maths Determinants ****Exercise**** 4.2: Ques No 2.**

**NCERT Solutions:**

If any rows (or columns) of a determinant has all zero, then value of determinant is zero.

**NCERT Solutions for Class 12 Maths Determinants ****Exercise**** 4.2: Ques No 3.**

**NCERT Solutions:**

If any two rows (or columns) of a determinant are identical (all corresponding elements are same), then value of determinant is zero.

**NCERT Solutions for Class 12 Maths Determinants ****Exercise**** 4.2: Ques No 4.**

**NCERT Solutions:**

If any two rows (or columns) of a determinant are identical (all corresponding elements are same), then value of determinant is zero.

**NCERT Solutions for Class 12 Maths Determinants ****Exercise**** 4.2: Ques No 5.**

**NCERT Solutions:**

If each element of a row (or a column) of a determinant is multiplied by a constant k, then its value gets multiplied by k.

If any two rows (or columns) of a determinant are interchanged, then sign of determinant changes.

**NCERT Solutions for Class 12 Maths Determinants ****Exercise**** 4.2: Ques No 6.**

**NCERT Solutions:**

If any rows (or columns) of a determinant has all zero, then value of determinant is zero.

**NCERT Solutions for Class 12 Maths Determinants ****Exercise**** 4.2: Ques No 7.**

**NCERT Solutions:**

If each element of a row (or a column) of a determinant is multiplied by a constant k, then its value gets multiplied by k.

**NCERT Solutions for Class 12 Maths Determinants ****Exercise**** 4.2: Ques No 8.**

**NCERT Solutions:**

If each element of a row (or a column) of a determinant is multiplied by a constant k, then its value gets multiplied by k.

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Determinants ****Exercise**** 4.2: Ques No 9.**

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Determinants ****Exercise**** 4.2: Ques No 10.**

**NCERT Solutions:**

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Determinants ****Exercise**** 4.2: Ques No 11.**

**NCERT Solutions:**

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**NCERT Solutions for Class 12 Maths Determinants ****Exercise**** 4.2: Ques No 12.**

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Determinants ****Exercise**** 4.2: Ques No 13.**

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Determinants ****Exercise**** 4.2: Ques No 14.**

**NCERT Solutions:**

**NCERT Solutions for Class 12 Maths Determinants ****Exercise**** 4.2: Ques No 15.**

Let A be a square matrix of order 3 × 3, then | kA| is equal to

(A) k| A|

(B) k^{2} | A|

(C) k^{3} | A|

(D) 3k | A |

**NCERT Solutions:**

If A is a square matrix of order n, then |kA| = kn|A|, where k is a scalar. Thus, if A be a square matrix of order 3 × 3, then | kA| = k^{3}|A|.

**NCERT Solutions for Class 12 Maths Determinants ****Exercise**** 4.2: Ques No 16.**

Which of the following is correct

(A) Determinant is a square matrix.

(B) Determinant is a number associated to a matrix.

(C) Determinant is a number associated to a square matrix.

(D) None of these

**NCERT Solutions:**

Determinants is a number associated to a square matrix.