1.

A real (4 × 4) matrix A satisfies the equation A2 = I, where I is the (4 × 4) identity matrix. The positive eigen value of A is __________. 

Answer»

A2 = I ⇒ A = A-1 ⇒ λ is on eigen value of A then 1/λ is also its eigen value. Since, we require positive eigen value. 

∴ λ = 1 is the only possibility as no other positive number is self inversed.



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