Question

PUNCTUL C VA ROG FRUMOS!!!!​

Answer 1

Răspuns:

1/101

Explicație pas cu pas:

Folosind punctul b), si anume ca A(x)*A(y) = A(x*y), rezulta ca

A(1/2)*A(2/3)*...*A(100/101) = A((1/2)*(2/3))*...*A(100/101) =

= ........ = A((1/2)*(2/3)*...*(100/101)) = A((1*2*...*100)/(2*3*...*101)) = A(1/101)

Observal ca det(A(x)) = 1*1*x + 0*0*0 + 0*(ln x)*0 - 0*1*0 - 0*(ln x)*x - 1*0*0 = x

Prin urmare, det(B) = det(A(1/101)) = 1/101