The inverse of a skew symmetric matrix (if it exists) is | Filo
filo Logodropdown-logo

Class 12

Math

Algebra

Determinants

view icon574
like icon150

The inverse of a skew symmetric matrix (if it exists) is

  1. a symmetric matrix
  2. a skew symmetric matrix
  3. a diagonal matrix
  4. none of these
Correct Answer: Option(b)
Solution: We have
Now,


  
Thus,            [inverse of a matrix is unique]
is a skew-symmetric matrix.
Hence, option B.


view icon574
like icon150
filo banner image

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

playstore logoplaystore logo
Similar Topics
determinants
complex number and quadratic equations
matrices
sequences and series
binomial theorem