Understand the problem If A = begin{bmatrix} 2&i\i&0end{bmatrix} , the trace of (A^{10}) is Source of the problem Sample Questions (MMA):2019 Topic Linear Algebra Difficulty Level Medium Suggested Book Introduction to Linear Algebra by Pearson Start with hints...

Understand the problem Find all integer solutions of the equation Source of the problem Costa Rica NMO 2010 Topic Number Theory Difficulty Level 6/10 Suggested Book A Friendly Introduction to Number Theory by J.H.Silverman Start with hints Hint 0Hint 1Hint 2Hint...

Understand the problem If (alpha) is a root of (x^2) – x +1 = 0 , then (alpha^{2018}) + (alpha^{-2018}) is Source of the problem Sample Questions (MMA) : 2019 Topic Quadratic Roots Difficulty Level Medium Suggested Book Abstract Algebra – Dummit and...

Understand the problem A new flag of ISI club is to be designed with 5 vertical strips using some or all the four colours : green , naroon , red and yellow . In how many ways this can be done so that no two adjacent strips have the same colour ? Source of the...

Understand the problem find all integers such us is a perfect square. Source of the problem New Zealand team training 2004 Topic Number Theory Difficulty Level Medium Suggested Book An Excursion in Mathematics Start with hints Hint 0Hint 1Hint 2Hint 3Hint 4 Do you...

Understand the problem Let and be positive integers greater than , with being a prime. Show that if divides and divides , then is a perfect square. Source of the problem Argentina TST 2005 Topic Number Theory Difficulty Level Easy Suggested Book An Excursion in...