Understand the problem True or false? For any , there exists a $ latex n times n$ real matrix $ latex A$ such that the set $ latex {A^p mid p ≥ 1}$ spans the $ latex Bbb R$-vector space $ latex M_n(Bbb R)$. Source of the problem TIFR GS 2019, Part B Problem 6 Topic...

Understand the problem Suppose are real matrices with .Then . We have to find out whether the statement is true or false. Source of the problem TIFR GS 2019, Part B Problem 5 Topic Linear Algebra Difficulty Level Medium Suggested Book Linear algebra, Friedberg, Insel...

Understand the problem >True or false: Let . Suppose each continuous function is bounded. Then is finite. Source of the problem TIFR GS 2019, Part B Problem 3 Topic General topology Difficulty Level Medium Suggested Book Topology, Munkres Start with hints Hint...

Understand the problem Is it possible to have a non-identity diagonalizable, invertible, complex matrix s.t characteristics polynomials of and are the same? Source of the problem TIFR GS 2019, Part B Problem 4 Topic Linear algebra Difficulty Level Hard Suggested Book...

Understand the problem True or False: Let satisfies , then is invertible. Source of the problem TIFR GS 2019, Part A Problem 2 Topic Linear Algebra Difficulty Level Easy Suggested Book Linear Algebra: Hoffman and Kunze Start with hints Hint 0Hint 1Hint 2 Do you really...