Questions
Let be a cube root of unity and S be the set of all non-singular matrices of the form
where are either or . Then number of distinct matrices in the set S is
detailed solution
Correct option is A
We have|A|=11cω1−aωcω21+bω1ω2ω=1−cω−aω+acω2=(1−aω)(1−cω)A is non-singular ⇔|A|≠0⇔a=c=ω.Note that b can take any value ω or ω2.Thus, there are two non-singular matrices.Similar Questions
Let
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests