What is the determinant of the identity matrix of size n x n?

If a square matrix A has a row of all zeros, what is its determinant?

How does multiplying a single row of a matrix by a scalar 'k' affect the determinant?

If two rows of a matrix are interchanged, how does the determinant change?

What is the determinant of a 2x2 matrix [[a, b], [c, d]]?

For a square matrix A, if det(A) = 0, what can you conclude about the matrix A?

How is the determinant of the inverse of a matrix A related to the determinant of A, given that A is invertible?

What is the determinant of an upper triangular matrix?

If A and B are square matrices of the same size, how is det(AB) related to det(A) and det(B)?

Which of the following operations does NOT change the value of the determinant of a matrix?