If the matrix A=[\table \alpha,\beta;\beta,\alpha] is such that A^2 = I , then which one of the following is correct?

Correct Answer is : α = 0, β = 1 OR α = 1, β = 0

α = 0, β = 1 OR α = 1, β = 0

α = 1, β = 1 OR α = 1, β = 0

UPSC NDA Math Model Paper 4

Question : 7 of 120

Marks: +1, -0

If the matrix A=[

α	β
β	α

] is such that A2=I , then which one of the following is correct?

Go to Question:

Prev Question

Next Question

α2+β2	2αβ
2αβ	α2+β2