Matrices Basics Flashcard Review

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form 'rows x columns'. For example, a 3 x 3 matrix has 3 rows and 3 columns.

Front

What is an adjacency matrix?

Back

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

Front

How do you add two matrices?

Back

To add two matrices, they must have the same dimensions. The sum is obtained by adding corresponding elements.

Front

What is the result of adding a matrix A to a matrix B?

Back

The result is a new matrix where each element is the sum of the corresponding elements of A and B.

Front

What is the notation for the entry in the second row and third column of a matrix?

Back

The notation is m_{2,3}, where '2' is the row number and '3' is the column number.

Front

What does it mean if two matrices cannot be added?

Back

It means that the matrices do not have the same dimensions.

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all the elements are zero. It acts as the additive identity in matrix addition.

Front

What is the identity matrix?

Back

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

Front

What is the transpose of a matrix?

Back

The transpose of a matrix is obtained by flipping it over its diagonal, turning rows into columns and vice versa.

Front

What is a square matrix?

Back

A square matrix is a matrix with the same number of rows and columns.