The number of diagonal matrix A of order n for which A3=A is
A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is D3 let the diagonal matrix A=Diag[d,d,d,…ntimes] ⇒A3=Diag[d3,d3,d3,…ntimes] but A3=A ⇒d3=d ∴d=−1,0,1 i.e 3 matrices are possible. Hence, option D.