## Math Problem Statement

explain the algorith below with the aid of an example...2 Algorithm for finding A

- In Amxn of rank r, find any non-singular minor of order r, and cal it M.
- Calculate (M inverse)' Replace the elements of M in A with the coresponding elenents of M inveverse)' and the other elenents of A replace With zeros

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Linear Algebra

Matrix Theory

Matrix Rank

Inverse of a Matrix

Matrix Transpose

### Formulas

Determinant of a Matrix: det(M)

Inverse of a Matrix: M^{-1}

Matrix Transpose: (M^{-1})^T

### Theorems

Non-singular Matrix Theorem

Inverse Matrix Theorem

Rank-Nullity Theorem

### Suitable Grade Level

Undergraduate (Linear Algebra Course)