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Grokking the Coding Interview Patterns in C#

Introduction to Matrices

Explore core matrix concepts including their structure and how to access elements in 2D arrays. Understand fundamental matrix operations like addition, multiplication, transpose, and inversion, as well as traversal methods such as row-major, column-major, diagonal, and spiral. This lesson helps you apply matrix patterns to solve coding interview problems and connect them to real-world uses in graphics, data analysis, and machine learning.

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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 and computer science. Here is a list of some of the most ...