1giebgm

2023-03-11

What does determinant of $0$ mean?

Mathew Middleton

Beginner2023-03-12Added 3 answers

Determinant properties:

If there is a determinant in a matrix $0$ then

The determinant has either two same rows or columns or the entities of one column or row are only zero.Since it is a singular matrix, the matrix cannot be inverted. There is no unique solution to the system of equations from which the matrix is made.The matrix is a zero matrix.Therefore, meaning of determinant of zero is defined

If there is a determinant in a matrix $0$ then

The determinant has either two same rows or columns or the entities of one column or row are only zero.Since it is a singular matrix, the matrix cannot be inverted. There is no unique solution to the system of equations from which the matrix is made.The matrix is a zero matrix.Therefore, meaning of determinant of zero is defined