Average Determinant: TIFR GS 2017 Part A Problem 8.

Average Determinant: TIFR GS 2017 Part A Problem 8.

Understand the problem True or False? Let \(n \geq 2\) be a natural number. Let \(S\) be the set of all \(n \times n\) real matrices whose entries are only \(0,1\) or \(2\). Then the average determinant of a matrix in \(S\) is greater than or equal to 1. Source of the...
ABC of rank: TIFR GS 2019, Part B Problem 5

ABC of rank: TIFR GS 2019, Part B Problem 5

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...
Invertible Matrix: TIFR GS 2019, Part B Problem 2

Invertible Matrix: TIFR GS 2019, Part B Problem 2

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...