matrices-linear-algebra

This document covers SymPy's matrix operations, linear algebra capabilities, and solving systems of linear equations.

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Content

# SymPy Matrices and Linear Algebra

This document covers SymPy's matrix operations, linear algebra capabilities, and solving systems of linear equations.

## Matrix Creation

### Basic Matrix Construction

```python
from sympy import Matrix, eye, zeros, ones, diag

# From list of rows
M = Matrix([[1, 2], [3, 4]])
M = Matrix([
    [1, 2, 3],
    [4, 5, 6]
])

# Column vector
v = Matrix([1, 2, 3])

# Row vector
v = Matrix([[1, 2, 3]])
```

### Special Matrices

```python
# Identity matrix
I = eye(3)  # 3x3 identity
# [[1, 0, 0],
#  [0, 1, 0],
#  [0, 0, 1]]

# Zero matrix
Z = zeros(2, 3)  # 2 ro

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