Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • If A and B are matrices of same order, then (AB’ - BA’) is a A. skew symmetric matrix B. null matrix C. symmetric matrix D. unit matrix

If A and B are matrices of same order, then (AB’ - BA’) is a
A. skew symmetric matrix
B. null matrix
C. symmetric matrix
D. unit matrix

Answers (1)

Let C = (AB’ - BA’)

C’ = (AB’ - BA’)’

\\ \Rightarrow C’ = (AB’)’ - (BA’)’

\\ \Rightarrow C’ = (B’)’A’ - (A’)’B’

\\ \Rightarrow C’ = BA’ - AB’

\\ \Rightarrow C’ = -C

∴ C is a skew-symmetric matrix.

Clearly Option (A) matches with our deduction.
Hence we can say that,

∴ Option (A) is the correct.

Posted by

infoexpert22

View full answer

Similar Questions

Latest Question