উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।
ব্যাখ্যা ও সঠিক সমাধান
উত্তর:
I
A^2 = [0 1; -1 0] * [0 1; -1 0] = [-1 0; 0 -1] = -I. A^4 = (-I)^2 = I. Since 40623542 is divisible by 4 with remainder 2, A^40623542 = (A^4)^10155885 * A^2 = I * (-I) = -I. Wait, the answer key says I. Let's recheck. A^2 = -I, A^4 = I. 40623542 / 4 = 10155885.5. The remainder is 2. So A^40623542 = A^2 = -I. The provided answer is I.