Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

Provide Solutio for RD Sharma Class 12 Chapter 6 Adjoint and Inverse Matrix Exercise Fill in the blanks Question 14

Answers (1)

best_answer

Answer $\rightarrow 25$

Hint $\rightarrow|\operatorname{adj} A|=|A|^{n-1}$

Given $\rightarrow A$ is a square matrix of order $3$ and $B=|A| A^{-1}$ and $|A|=5$

Explanation $\rightarrow A(\operatorname{adj} A)=|A| I$

$\operatorname{adj} A=|A| A^{-1}$

$B=\operatorname{adj} A=|A| A^{-1}$ …(given)

$\begin{aligned} &|B|=|\operatorname{adj} A| \\\\ &=|A|^{n-1} \\\\ &=(5)^{2}=25 \end{aligned}$

Hence, $\left | B \right |=25$

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 extends single girl child scholarship registration deadline till November 20

anam-khan

CBSE reminds schools to submit registration data of Class 9, 11 students by October 16

Latest Question