Edi Kurniadi's Blog

Selasa, 25 Desember 2012

Berikut Tata cara mengerjakan UTS varkom dan StrukAl take home test

http://www.ziddu.com/download/21191530/UTSVARKOMdanSTRUKTURALJABARIUNIBBA.pdf.html

5a. Show that if f maps X into Y and A is a subset of X, B is a subset of Y then

f(f^(-1)(B)) is a subset of B

NB : f^(-1) is the inverse image ( peta invers).

5b. Show that if f maps X onto Y and B is a subset of Y, then

f(f^(-1)(B)) = B

NB : f maps X onto Y = f onto/surjective ( pada)

4a. Prove that every integer is either even or odd, but never both.

4b. Prove that if b > 0 then b|a if and only if a mod b = 0.

Let n be a positive integer. Prove the square root of n is either n integer or it is irrational.

Prove if a be an arbitrary real number then for arbitrary integers m and n we have :

(i). a^m . a^n = a^(m+n)

(ii) (a^m)^n = a^(mn)

Prove

(cos x +i sin x)^n = cos (nx) + i sin (nx)

valid for any real number x and for any integer n.

NB : (cos x +i sin x)^n = (cos x +i sin x) to the power of n

Diskusikan ya,

http://www.ziddu.com/download/20791151/Latihansoalvarkom.docx.html