Understand the problem The value of (lambda) for which the system of linear equations 2x – y – z = 12 , x -2y +z = -4 , x +y + (lambda)z = 4 has no solution is Source of the problem Sample Questions (MMA) :2019 Topic Linear Algebra Difficulty Level...

Understand the problem Let A be a 3 x 3 real matrix with all the diagoanl entries equal to 0 . If 1 + i is an eigen value of A , the determinant of A equal ? Source of the problem Sample Questions (MMA ) :2019 Topic Linear Algebra Difficulty Level Medium Suggested...

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 The number of rings of order 4, up to isomorphism, is:(a) 1(b) 2(c) 3(d) 4. Source of the problem TIFR GS 2018 Part B Problem 12 Topic Abstract Algebra Difficulty Level Easy Suggested Book Dummit and Foote Start with hints Hint 0Hint 1Hint 2Hint...

Understand the problem What are the last 3 digits of (2^{2017})?(a) 072(b) 472(c) 512(d) 912. Source of the problem TIFR GS 2018 Part B Problem 9 Topic Number theory Difficulty Level Easy Suggested Book Burton Start with hints Hint 0Hint 1Hint 2Hint 3 Do you really...

Understand the problem Let G be a finite group and g ∈ G an element of even order. Then wecan colour the elements of G with two colours in such a way that x andgx have different colours for each x ∈ G. Source of the problem TIFR GS 2018 Part A Problem 24 Topic...