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Name: Need solution for RD Sharma maths class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 31
Uploaded: Thu, 2021-08-12 22:15
Description: Need solution for RD Sharma maths class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 31

#R.D. Sharma
#Maths
#Algebra of Matrices
#School
#CBSE 12 Class
#RD Sharma Vol. 1 Class 12

#1.3
#4.1
#4.2
#4.3
#4.4
#4.5
#9.12
#Fill in the blanks
#Very Short Answer type
#Multiple Choice Questions (MCQs)

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Need solution for RD Sharma maths class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 31

Answers (1)

Answer:

(AB - BA) is skew symmetric matrix

Hint:

Use the concept of symmetric and skew-symmetric Metrix.

Given:

A and B are symmetric.

Solution:

Since, A and B are symmetric.

$\begin{aligned} &(A B-B A)^{\prime}=(A B)^{\prime}-(B A)^{\prime}=B^{\prime} A^{\prime}-A^{\prime} B^{\prime} \\ &=B A-A B=-(A B-B A) \\ &(A B-B A)^{\prime}=-(A B-B A) \\ &A B-B A \end{aligned}$

So, (AB - BA) is skew symmetric matrix

Posted by

Gurleen Kaur

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Need solution for RD Sharma maths class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 31

Answers (1)

Posted by

Gurleen Kaur

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