Question

(ii) If A^2-A +I= 0, then A^-1 =
(a) A² (b) A +I () A-I (d) I-A​

Answer 1

Answer:

Correct Option is :

(d). I - A

Explanation :

$a {}^{2} - a + i = 0 \\ i = a - a {}^{2} \\ a { }^{ - 1} i = a {}^{ - 1} (a - a {}^{2} ) \\ a {}^{ - 1} = a {}^{ - 1} a - a(aa {}^{ - 1} ) \\ a {}^{ - 1} = i - a$