What is determinant of identity matrix?

The determinant of an identity matrix is always equal to 1. This is because the identity matrix is a square matrix in which all the elements of the main diagonal (from the top left to the bottom right) are equal to 1 and all other elements are equal to 0.

The determinant of a matrix is a scalar value that can be calculated from the elements of the matrix. It is a measure of how the matrix scales the volume of the space it operates on. In the case of an identity matrix, since it does not change the volume of the space, its determinant is always equal to 1.

Mathematically, the determinant of an identity matrix of size n is given by: det(I) = 1^n = 1

Where I is the identity matrix and n is the size of the matrix.