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# 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 NCERT Solutions can be downloaded in PDF file. The downloading link is given at last.

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 CBSE Class 12th Maths like Algebra, Calculus, Trigonometry, Coordinate Geometry help you to understand the concept of Physics and Physical Chemistry.

CBSE Class 12th 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 CBSE NCERT Solutions for Class 12th Maths is major role in your exam preparation as it has detailed chapter wise solutions for all exercise.

As 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:

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 9.

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 10.

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:

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 11.

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:

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 12.

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 13.

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 14.

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 15.

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

(B) k2 | A|

(C) k3 | 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| = k3|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.

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