Suppose that a matrix A =

a 0

0 b

where a and b are real numbers

Prove that =

0

0

for every positive integer n

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- March 6th 2009, 11:08 AMtokioNumber Theory Matrix Help
Suppose that a matrix A =

a 0

0 b

where a and b are real numbers

Prove that =

0

0

for every positive integer n - March 6th 2009, 12:09 PMGrandadMatrix proof
- March 6th 2009, 07:33 PMtokio
- March 6th 2009, 11:33 PMGrandadProof by induction
Hello Tokio

Given that , let be the propositional function:

Then

is true. So

Grandad