For what values of C will A 1 1 c c8 be invertible Enter you

For what values of C will A=[ 1 1 c c^8] be invertible? (Enter your answer as a comma-separated list.) C not equal sign

Solution

for A to be invertible detA should not be equal to zero

detA = 1(c⁸) - 1(c) = c⁸ - c

detA = 0 ==> c⁸ - c = 0

==> c(c⁷ - 1) = 0

==> c = 0 , c = 1

==> A is not invertible when c = 0 , 1

Hence A is invertibe for c belongs to (- , 0) U (0 , 1) U (1 , )