2. Find eta for the matrix A = (2) 2 0 as follows. CH = . an bn (a) Denote by A” . By calculating A², A3, ..., find an,
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2. Find eta for the matrix A = (2) 2 0 as follows. CH = . an bn (a) Denote by A” . By calculating A², A3, ..., find an,
2. Find eta for the matrix A = (2) 2 0 as follows. CH = . an bn (a) Denote by A” . By calculating A², A3, ..., find an, Cn, and dn. Cn dn (b) Using the obtained an, Cm, dn and relationship An+1 = A" · A, express bn+1 in terms of br. Cn Abn (c) Using the obtained relationship between bn+1 and bn, obtain bn for general n. (d) Calculate eta. Hint: Calculate each of the four entries of etA individually. (1.5 points]
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