Let A and B....

Let A and B be (n x n)-matrices. P1: If B is obtained from A by interchanging two rows, then det(B) = -det(A). P2: If B is obtained from A by multiplying one row by k then det(B) = k det(A). P3: If B is obtained from A by adding a multiple of one row to another row (leaving the first row unchanged), then det(B) = det(A). P4: If A is an upper (or lower) triangular matrix, then det(A) = a11 22. . ann. Use properties P1-P4 to find the determinant of the following complex matrix. -1 0 1 -1 0 1 1