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Introduction to Matrices

Explore matrices as 2D arrays, understand key operations like addition, multiplication, and inversion, and learn traversal techniques such as row-major and spiral traversal. This lesson helps you recognize matrix problem patterns commonly seen in coding interviews and apply matrix transformations to real-world scenarios in graphics, data analysis, and machine learning.

About the pattern

A matrix is a group of numbers arranged in rows and columns in a rectangular pattern. In computer science, matrixes are represented by 2D arrays with dimensions m×nm \times n, where mm is the number of rows, and nn is the number of columns. Each element in the matrix can be accessed using the array indexes. The first index represents the row, and the second index represents the column. For example, matrix[i][j]matrix[i][j] is an element from the ithi^{th} row and the jthj^{th} column of the matrix.

Matrix transformations are operations performed on matrices that result in a new matrix. There are several types of matrix transformations commonly used in mathematics ...