This document covers matrix operations, determinants, and inverse matrices, with a focus on solving systems of equations using matrix methods. It provides step-by-step explanations and examples for various matrix calculations.

**Multiplication of matrix 3x3** and **multiplying matrices 2x2** are key topics covered. The document explains **how to multiply matrices** and provides a **matrix multiplication step by step calculator** approach. It also touches on the **matrix multiplication algorithm** and shows **how to solve matrices step-by-step**.

The content includes information on determinants, inverses, minors, and cofactors, which are essential concepts in **determinants and inverses in further core one**. It demonstrates **how to solve matrix equations with minors and cofactors** and explains the process of finding **minors and cofactors of a 3x3 matrix**.

Key points include:

- Different types of matrices (zero, identity, square)
- Matrix addition, subtraction, and multiplication
- Determinants and their properties
- Inverse matrices and their applications
- Solving systems of equations using matrices

The document provides practical examples, including a problem-solving scenario involving a mole-rat colony, to illustrate the application of matrix methods in real-world situations.