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 Class 12 Chapter 6 Adjoint and Inverese of Matrices Exercise 6.1 Question 35 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 6 Adjoint and Inverese of Matrices Exercise 6.1 Question 35 Maths Textbook Solution.

Answers (1)

best_answer

Answer:

|A \times \operatorname{Adj}(A)|=|A|^{n}

Hint:

Here, we use basic concept of determinant and inverse of matrix

A^{-1}=\frac{1}{|A|} \times \operatorname{Adj}(A)

Given:

A is square matrix

Solution:

\begin{aligned} &|A \times \operatorname{Adj}(A)|=|A|^{n} \\ &L H S \\ &|A \times \operatorname{Adj}(A)| \\ &=|A| \times|A|^{n-1} \end{aligned}                                           \left[A d j(A)=|A|^{n-1}\right]
\begin{aligned} &=|A|^{n+1-1} \\ &=|A|^{n} \\ &=R H S \end{aligned}

 

 

Posted by

infoexpert27

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 announces STEM education as annual training theme for 2025
anam-khan

Board Exam 2025 Admit Card LIVE: WBBSE, UPMSP hall tickets soon; updates on other state boards admit cards
anam-khan

CBSE Class 10, 12 admit card 2025 out for regular, private students at Pariksha Sangam portal

Latest Question