Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Fill in the blanks If A is invertible matrix of order 3 × 3, then |A-1|= ____.

Fill in the blanks

If A is invertible matrix of order 3 × 3, then |A^{-1}|= ____.

Answers (1)

If A is an invertible matrix of order 3 \times 3, then \vert A^{-1} \vert = \vert A \vert^{-1} \\

Given 

A = invertible matrix 3x3
\\ \vspace{\baselineskip} AA^{-1} = I.\\ \vspace{\baselineskip} \Rightarrow \vert A \vert \vert A^{-1} \vert = 1\\ \\

\therefore\left|A^{-1}\right|=\frac{1}{|A|} \\

Posted by

infoexpert22

View full answer

Similar Questions

Latest Question