A is a matrix, I is identity matrix and there exists such n that and i have to prove that A is invertible. so i think we have to find such B that , then but obviously "-2" is bad here.. so maybe makes proof right?

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- February 14th 2010, 05:09 AMJuliusProve that matrix is invertible
A is a matrix, I is identity matrix and there exists such n that and i have to prove that A is invertible. so i think we have to find such B that , then but obviously "-2" is bad here.. so maybe makes proof right?

- February 14th 2010, 06:08 AMHallsofIvy
Yes, that is correct. Well done!

(Although it would have made more sense to write 2A as (2I)A immediately.)