# NCERT Solutions, Matrices, Part -3, Class 12, Maths Notes - Class 12

## Class 12: NCERT Solutions, Matrices, Part -3, Class 12, Maths Notes - Class 12

The document NCERT Solutions, Matrices, Part -3, Class 12, Maths Notes - Class 12 is a part of Class 12 category.
All you need of Class 12 at this link: Class 12

Matrices and Determinants

Exercise 3.3
Question 1: Find the transpose of each of the following matrices:

Question 2:

We have

Question 3:

Question 4:

Question 5: For the matrices A and B, verify that (AB)′ = B'A' where

Question 6:

(ii)

Question 7:

Hence, A is a skew-symmetric matrix.

Question 8:

Question 9:

Question 10: Express the following matrices as the sum of a symmetric and a skew symmetric matrix:

Question 11: If A, B are symmetric matrices of same order, then AB − BA is a
A. Skew symmetric matrix
B. Symmetric matrix
C. Zero matrix
D. Identity matrix

A and B are symmetric matrices, therefore, we have:

Thus, (AB − BA) is a skew-symmetric matrix.

Question 12:
If
if the value of α is

The document NCERT Solutions, Matrices, Part -3, Class 12, Maths Notes - Class 12 is a part of Class 12 category.
All you need of Class 12 at this link: Class 12
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