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)

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 Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years

Latest Question