Inverse Matrix

Front

What is an inverse matrix?

Back

An inverse matrix is a matrix that, when multiplied by the original matrix, results in the identity 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 special number that can be calculated from a square matrix, indicating whether the matrix has an inverse.

Front

What does it mean if the determinant is zero?

Back

If the determinant is zero, the matrix does not have an inverse.

Front

How do you find the inverse of a 2x2 matrix?

Back

For a 2x2 matrix [[a, b], [c, d]], the inverse is (1/det) * [[d, -b], [-c, a]], where det = ad - bc.

Front

What is the formula for the determinant of a 2x2 matrix?

Back

The determinant of a 2x2 matrix [[a, b], [c, d]] is calculated as ad - bc.

Front

What is a matrix?

Back

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

Front

What is a square matrix?

Back

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

Front

What is a non-invertible matrix?

Back

A non-invertible matrix is a matrix that does not have an inverse, often because its determinant is zero.

Front

What is the relationship between a matrix and its inverse?

Back

A matrix and its inverse multiply to give the identity matrix.