Sorry if it difficult to read, A^n is a 2x2 matrix. And the dots... signify a space to make it easier to read.
So we are given that :
[ 3(8^n) - 2(7^n) .... -8^n+7^n
6(8^n)-6(7^n) .... -2(8^n)+3(7^n) ]
Question: Find a matrix B such that B^2=A. [Hint:Guess a solution using the above]
I don't really understand when it means guessing a solution.
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Last edited by userna-me*; 10-04-2011 at 11:22.
- 10-04-2011 11:20
- 10-04-2011 14:18
Hard not to simply give the answer.
Think of a value of n s.t. (A^n)^2 = A.