18. Let 2 - 1 2 5 -3 3 0 -2 (a) Compute (A+1)3 (b) Deduce that A is invertible and find its inverse (c) Find A", n E N. (d) Let (Un), (un) and (wn) be real sequences defined by Un+1 = 3)-( 1 0 and 2un - Un +2wn Un+1 5un - 3un + 3wn Wn+1 = -un 2wn

匿名用户最后更新于 2021-12-01 19:08 数学类Mathematics

18. (c) & (d) TYSM

18. Let 2 - 1 2 5 -3 3 0 -2 (a) Compute (A+1)3 (b) Deduce that A is invertible and find its inverse (c) Find A", n E N. (d) Let (Un), (un) and (wn) be real sequences defined by Un+1 = 3)-( 1 0 and 2un - Un +2wn Un+1 5un - 3un + 3wn Wn+1 = -un 2wn Find the general terms of (un), (un) and (wn) in terms of n.

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18. Let 2 - 1 2 5 -3 3 0 -2 (a) Compute (A+1)3 (b) Deduce that A is invertible and find its inverse (c) Find A&quot;, n E N. (d) Let (Un), (un) and (wn) be real sequences defined by Un+1 = 3)-( 1 0 and 2un - Un +2wn Un+1 5un - 3un + 3wn Wn+1 = -un 2wn

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18. Let 2 - 1 2 5 -3 3 0 -2 (a) Compute (A+1)3 (b) Deduce that A is invertible and find its inverse (c) Find A", n E N. (d) Let (Un), (un) and (wn) be real sequences defined by Un+1 = 3)-( 1 0 and 2un - Un +2wn Un+1 5un - 3un + 3wn Wn+1 = -un 2wn