Matrix Basics

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers 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 how many rows and columns it has.

Front

How do you add two matrices?

Back

To add two matrices, they must have the same dimensions. You add corresponding elements.

Front

What must be true in order to subtract two matrices?

Back

The matrices must have the same dimensions.

Front

What is the result of multiplying a matrix by a scalar?

Back

Each element of the matrix is multiplied by the scalar.

Front

What is a square matrix?

Back

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

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all elements are zero.

Front

How do you multiply two matrices?

Back

To multiply two matrices, the number of columns in the first matrix must equal the number of rows in the second matrix.

Front

What is the determinant of a matrix?

Back

The determinant is a scalar value that can be computed from the elements of a square matrix, indicating whether the matrix is invertible.