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How to find inverse of a 2by2 matrix.

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Lecture# 10 Zero Divisors and their importance.

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Lecture#9 Units of Zm Zn Rings.

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Lecture#8 Units of Gaussian integers (Ring) Z[i].

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Lecture#7 Unit elements of Zn (Modular rings).

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Lecture #6 Unit elements in Rings.

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Lecture #5 Ring with unity Counter examples.

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Lecture#4 A non commutative without unity.

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Lecture #3 Ring with unity.

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Lecture#2 Zn Modular Rings, detailed concept.

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Lecture#1 Ring ,concept with examples.

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Lecture#23 (3n)! (3n!)^n is an integer.

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Lecture# 22 Gcd results proved.

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Lecture #7 Is set of Rationals(Q) open or close

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Lecture# 21 Gcd(a,a+n) divides n.

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Lecture #20 If a and b are odd then 16 a^4+b^4-2

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Lecture #19 If a is odd then 32 divides (a^2+3)(a^2+7).

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Lecture #18 3 divides a,a+2,or a+4.

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Lecture # 6 A set is open iff its complement is close.Proof Urdu Hindi

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Lecture# 17 Divisibility proof in Urdu Hindi

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Lecture # 16 divisibility proofs using mathematical induction.

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Lecture # 15 Divisibility results proved

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Find the area of yellow shaded region.

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Lecture # 14 Euclid lemma of divisibility (proof).

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Lecture # 13 If gcd (a,b) = d then gcd (ad,bd) = 1 proved in urdu hindi

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Lecture #12 What is GCD How to calculate gcd with various examples.

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Lecture# 11 What is Divisibility . Some basic properties of divisibility proved.

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Lecture # 10 Cube of any integer is either of the form 9k,9k+1 or 9k+8.

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Lecture # 9 Square of an integer is either of the form 3k , 3k+1 .

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Lecture # 08 Division Algorithm proof in Urdu Hindi (Easy explanation )

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