A=[[11,2],[0,11]]. What is the first row second column element of A^12?
A=[[11,2],[0,11]] है। A^12 में first row second column का element क्या होगा?
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Correct Answer
B. 6847480094664
ExplanationStep 1: this is an upper triangular matrix with repeated diagonal a. Step 2: the off-diagonal element in A^n is n*a^(n-1)*b, hence 6847480094664. Step 3: tip: for equal diagonal a, the upper term becomes n*a^(n-1)*b.
Step 1: यह upper triangular repeated-root matrix है। Step 2: formula A^n के off-diagonal element के लिए n*a^(n-1)*b है, इसलिए 6847480094664। Step 3: tip: same diagonal a हो तो power में upper term n*a^(n-1)*b बनता है।