Matrices Operations

Front

What is a matrix?

Back

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

Front

How do you determine the dimensions of a matrix?

Back

The dimensions of a matrix are given by the number of rows and columns it contains, expressed as 'rows x columns'.

Front

What is the sum of two matrices?

Back

The sum of two matrices is obtained by adding their corresponding elements, provided they have the same dimensions.

Front

What is the product of two matrices?

Back

The product of two matrices is calculated by taking the dot product of rows and columns, and is only defined when the number of columns in the first matrix equals the number of rows in the second.

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 a zero matrix?

Back

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

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 matrix addition?

Back

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

Front

What is matrix multiplication?

Back

Matrix multiplication is the operation of multiplying two matrices, which involves taking the dot product of rows and columns.

Front

What is a 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.