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Grokking the Coding Interview Patterns

Introduction to Matrices

Explore the fundamental concepts of matrices, including their representation as 2D arrays and common transformations like addition, multiplication, transpose, and rotation. Understand various traversal techniques such as row-major, column-major, diagonal, and spiral, and see how to apply these concepts to solve typical coding problems involving matrix manipulations.

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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 ...