Find all values of c, if any, for which matrix the matrix is invertible.?

| c c c |


| 1 c c |


| 1 1 c |





I already solved this but I just wanted to confirm that my answer was correct.


I found that -infinity %26lt; c %26lt; infinity and c cannot equal 0 or 1.

Find all values of c, if any, for which matrix the matrix is invertible.?
As long as the determinant of the matrix is not zero, it has an inverse. The determinant here is (c³ + c² + c) - (3c²)


= c³ - 2c² + c = c(c² - 2c + 1) = c(c - 1)².





For the matrix to be invertible, c(c - 1)² ≠ 0.


If c = 0 or c = 1, the determinant would be zero.





Your answer is correct. c ≠ 0 and c ≠ 1.