Which of the following are true?
(1) The sum of two invertible matrices is invertible
(2) The determinant of the sum is the sum of the
determinants
(3) The determinant of the inverse is the reciprocal of the
determinant
(4) An nxn matrix is invertible if and only if its determinant
is zero
(5) The product of two invertible matrices is invertible (so
long as the product is defined)
(6) If A is a diagonal 3x3 matrix [a,0,0;0,b,0;0,0,c] then its...