Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please solve RD Sharma solution for Maths Class 12 Chapter 5 Determinants Exercise Very short question Question 11 for maths textbook solution.

Please solve RD Sharma solution for Maths Class 12 Chapter 5 Determinants Exercise Very short question Question 11 for maths textbook solution.

Answers (1)

Answer: 0

Hint: Here we use basic concept of determinant of matrix

Given: \Delta=\left|\begin{array}{ccc} 1 & \omega & \omega^{2} \\ \omega & \omega^{2} & 1 \\ \omega^{2} & 1 & \omega \end{array}\right|

Solution :

C_{1} \rightarrow C_{1}+C_{2}+C_{3}

So,

\Delta=\left|\begin{array}{ccc} 1+\omega+\omega^{2} & \omega & \omega^{2} \\ 1+\omega+\omega^{2} & \omega^{2} & 1 \\ 1+\omega+\omega^{2} & 1 & \omega \end{array}\right|

\rightarrow We know that  1+\omega+\omega^{2}=0

So,

\Delta=\left|\begin{array}{ccc} 0 & \omega & \omega^{2} \\ 0 & \omega^{2} & 1 \\ 0 & 1 & \omega \end{array}\right|

\rightarrow Here whole 1st column is zero

So, the value of determinant is also zero

 

Posted by

infoexpert23

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Single Girl Child Scholarship 2024: Registration extended till January 10; eligibility criteria, amount
anam-khan

CBSE wants international boards reined in; letter to education ministry seeks directions for AIU
anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14

Latest Question