Matrices Basics Flashcard Review

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form 'rows x columns', indicating the number of rows and columns in the matrix.

Front

What is an entry in a matrix?

Back

An entry in a matrix is a specific value located at the intersection of a particular row and column.

Front

How do you denote the entry in the second row and third column of matrix M?

Back

It is denoted as m(2,3).

Front

What is the result of adding two matrices?

Back

The result of adding two matrices is a new matrix where each entry is the sum of the corresponding entries of the original matrices, provided they have the same dimensions.

Front

What is the result of subtracting two matrices?

Back

The result of subtracting two matrices is a new matrix where each entry is the difference of the corresponding entries of the original matrices, provided they have the same dimensions.

Front

What is an adjacency matrix?

Back

An adjacency matrix is a square matrix used to represent a finite graph, where the elements indicate whether pairs of vertices are adjacent or not in the graph.

Front

What is a directed graph?

Back

A directed graph is a graph in which the edges have a direction, indicating a one-way relationship between the vertices.

Front

What does it mean if a matrix has no solution?

Back

A matrix has no solution if the equations represented by the matrix are inconsistent, meaning there is no set of values that satisfies all equations simultaneously.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere, serving as the multiplicative identity in matrix multiplication.