Find all solutions of the equation x 2 + x - 6 = 0 in the ring
Question:
Find all solutions of the equation x2 + x - 6 = 0 in the ring Z14 by factoring the quadratic polynomial. Compare with Exercise 27.
Data from exercise 27
Consider this solution of the equation X2 = I3 in the ring M3(R).
X2 = I3 implies X2 -I3 = 0. the zero matrix, so factoring, we have (X - I3)(X + I3) = 0
Whence either X = I3 or X = -I3
Is this reasoning correct? If not, point out the error, and if possible, give a counterexample to the conclusion.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Question Posted: