wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A skew-symmetric matrix A satisfies the relation A2+I=0, where I is a unit matrix then A is

A
idempotent
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
orthogonal
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
of even order
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
odd order
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
B orthogonal
C of even order
Given: A2+I=0
A2=I
Property of orthogonal matrix A2=I if A is of odd order and
A2=I if A is of even order.
Hence, A is an orthogonal matrix of even order.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Symmetric Matrix
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon