Math Problem Statement

is an nxn matrix invertible if it can't be taken to row echelon form

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Matrix Inversion
Row Echelon Form
Determinants

Formulas

Determinant of a matrix: det(A)
Rank of a matrix

Theorems

Invertible Matrix Theorem
Rank-Nullity Theorem

Suitable Grade Level

Undergraduate (Linear Algebra)