Matrix Operations

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 defined by the number of rows and columns it contains, expressed as 'rows x columns'.

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 subtraction?

Back

Matrix subtraction is the operation of subtracting one matrix from another by subtracting their corresponding elements.

Front

What is matrix multiplication?

Back

Matrix multiplication is the operation of multiplying two matrices, where the number of columns in the first matrix must equal the number of rows in the second matrix.

Front

What is the entry at r31 in a matrix?

Back

The entry at r31 refers to the element located in the 3rd row and 1st column of a matrix.

Front

How do you find the product of two matrices?

Back

To find the product of two matrices, multiply the rows of the first matrix by the columns of the second matrix and sum the products.

Front

What is a square matrix?

Back

A square matrix is a matrix that has 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.