Get Answers to all your Questions

header-bg qa

Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 21 Maths Textbook Solution.

Answers (1)

Answer: \sum _{i}a_{ii}=0

Hint: Here to solve this we use the basic concept of skew symmetric matrix

Given: A=\left [ a_{ij} \right ]is skew symmetric

             Write value of \sum _{i}a_{ii}=?

Solution: Let Ais a m\times nmatrix

Where a_{ij}=idenotes row

                        J denotes column

I=\sum _{i=1}^{m}a_{ii}

=a_{11}+a_{22}+a\cdot \cdot \cdot \cdot \cdot a_{mn}

A=\left [ a_{ij} \right ]_{m\times n} where\: i\leq m,j\leq n

HereA is skew symmetric

So, -A=A^{T}




So, if j=i


So,\sum _{i}a_{ii}=0

Posted by


View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support