This discussion is now closed.
Check out other Related discussions
- Somebody help!! EPQ on Analytic number theory!!
- I need help on set theory, i am open for tutorship. Please someone help
- Mental health nursing or Social care
- Advice
- Is a math tutor worth it?
- how to go from a grade5/6 in maths to a grade 7 in a month for gcses. please help
- Starting GCSES looking to get into Oxbridge Maths
- BMAT- Last minute revision
- Worried about studying Chemistry at UNI
- Mat 2024
- Do I need to know only 12 practicals for Science
- Binomial Expansion Help
- Material science interview
- Advice on studying fm
- Jane Street interview
- Dental students, how is the degree?
- Helpp
- Oxbridge Applicants
- Correlation between UKMT Maths challenge and being able to do Maths at Uni
- GCSE'S HELP (Please Read)
Maths Problem help please :)
Im stuck on the second part but ill write it all:
if A =
[ 1 0 0
-1 -2 -1
2 3 2 ]
thats a matrix.
Show that A^3 - A = A^2 - I
So i managed to do that bit with multiplying but here the tricky bit.
Prove by induction that for every integer >= 3, A^n - A^(n-2) = A^2 - I
Hence find A^100
Strugling with the proof any help will be appreciated.
Thanks alot
Blair
if A =
[ 1 0 0
-1 -2 -1
2 3 2 ]
thats a matrix.
Show that A^3 - A = A^2 - I
So i managed to do that bit with multiplying but here the tricky bit.
Prove by induction that for every integer >= 3, A^n - A^(n-2) = A^2 - I
Hence find A^100
Strugling with the proof any help will be appreciated.
Thanks alot
Blair
Related discussions
- Somebody help!! EPQ on Analytic number theory!!
- I need help on set theory, i am open for tutorship. Please someone help
- Mental health nursing or Social care
- Advice
- Is a math tutor worth it?
- how to go from a grade5/6 in maths to a grade 7 in a month for gcses. please help
- Starting GCSES looking to get into Oxbridge Maths
- BMAT- Last minute revision
- Worried about studying Chemistry at UNI
- Mat 2024
- Do I need to know only 12 practicals for Science
- Binomial Expansion Help
- Material science interview
- Advice on studying fm
- Jane Street interview
- Dental students, how is the degree?
- Helpp
- Oxbridge Applicants
- Correlation between UKMT Maths challenge and being able to do Maths at Uni
- GCSE'S HELP (Please Read)
Latest
Trending
Last reply 2 weeks ago
Unofficial Mark scheme: AQA GCSE Biology Paper 1 Triple Higher Tier 16th May 2023Last reply 1 month ago
AQA A Level Business Paper 3 (7132/3) - 14th June 2023 [Exam Chat]Last reply 1 month ago
AQA A-level Psychology Paper 2 (7182/2) - 25th May 2023 [Exam Chat]Last reply 1 month ago
AQA A-level Physics Paper 2 (7408/2) - 9th June 2023 [Exam Chat]Last reply 1 month ago
Edexcel A Level Mathematics Paper 1 (9MA0 01) - 6th June 2023 [Exam Chat]Maths Exams
2960
Last reply 2 months ago
Edexcel A-level Mathematics Paper 1 [6th June 2023] Unofficial MarkschemeMaths Exams
156
Trending
Last reply 2 weeks ago
Unofficial Mark scheme: AQA GCSE Biology Paper 1 Triple Higher Tier 16th May 2023Last reply 1 month ago
AQA A Level Business Paper 3 (7132/3) - 14th June 2023 [Exam Chat]Last reply 1 month ago
AQA A-level Psychology Paper 2 (7182/2) - 25th May 2023 [Exam Chat]Last reply 1 month ago
AQA A-level Physics Paper 2 (7408/2) - 9th June 2023 [Exam Chat]Last reply 1 month ago
Edexcel A Level Mathematics Paper 1 (9MA0 01) - 6th June 2023 [Exam Chat]Maths Exams
2960
Last reply 2 months ago
Edexcel A-level Mathematics Paper 1 [6th June 2023] Unofficial MarkschemeMaths Exams
156
