Matrix Operations

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns.

Front

What is the order of a matrix?

Back

The order of a matrix is defined by the number of rows and columns it contains, expressed as 'm x n'.

Front

What is matrix addition?

Back

Matrix addition is the operation of adding two matrices by adding their corresponding elements.

Front

What must be true in order to ADD two matrices?

Back

The dimensions of the matrices must be equal.

Front

What is matrix multiplication?

Back

Matrix multiplication is an operation that produces a new matrix by multiplying rows of the first matrix by columns of the second matrix.

Front

When can you multiply two matrices?

Back

You can multiply two matrices if the number of columns in the first matrix equals the number of rows in the second matrix.

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 the determinant of a matrix?

Back

The determinant is a scalar value that is a function of the entries of a square matrix, providing important properties of the matrix.

Front

How do you find the transpose of a matrix?

Back

The transpose of a matrix is found by swapping its rows with its columns.

Front

What is a zero matrix?

Back

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