explain and summarize what is matrix and deteminants

### What is a Matrix?

A **matrix** is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are fundamental in various fields of mathematics and engineering, and they are used to represent and solve systems of linear equations, perform linear transformations, and handle data in fields like computer graphics, physics, economics, and statistics.

#### Structure of a Matrix:
- A matrix is typically denoted by a capital letter (e.g., **A**, **B**, **C**).
- The numbers within the matrix are called **elements** or **entries**.
- The size or **dimension** of a matrix is given by the number of rows and columns it contains. For example, a matrix with 3 rows and 2 columns is called a "3×2 matrix."

A matrix **A** with elements **aᵢⱼ** (where **i** is the row number and **j** is the column number) can be written as:

\[
\mathbf{A} = \begin{bmatrix} 


Explore the fundamental concepts of matrices and determinants in mathematics. Learn how matrices are used to solve systems of equations, perform transformations, and handle data. Understand the role of determinants in matrix algebra and its applications in various fields like computer graphics, physics, economics, and statistics.

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