## Math Problem Statement

Reduce the following matrix in normal form and hence find its rank and using row and column transformation

A = -3 4 6

5 -2 -3

3 1 -4

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Linear Algebra

Matrix Row Echelon Form

Matrix Rank

### Formulas

Elementary Row Operations

Rank of a Matrix

### Theorems

Rank Theorem (Dimensionality)

Gaussian Elimination

### Suitable Grade Level

Undergraduate Level