All the same, I'd have to collect all the terms just to calculate A, B and C- how would I do it in general?
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(Real Math) Looking for a fancy matrix trick
- Thread starter CptBork
- Start date
All the same, I'd have to collect all the terms just to calculate A, B and C- how would I do it in general?
All the same, I'd have to collect all the terms just to calculate A, B and C- how would I do it in general?
See the pattern that emerges:
$$A+B+C=0$$
$$Aa_4+Ba_2+Ca_3=-1$$
See the pattern that emerges:
$$A+B+C=0$$
$$Aa_4+Ba_2+Ca_3=-1$$
Ok, I'll play around a bit and see... You're suggesting I'll get a general pattern for all the coefficients A, B, C, D,... without having to work recursively? Can you show how the argument proceeds in the first example where you calculated A and B?
Ok, I'll play around a bit and see... You're suggesting I'll get a general pattern for all the coefficients A, B, C, D,... without having to work recursively? Can you show how the argument proceeds in the first example where you calculated A and B?
Yes, I think so.
$$A+B=0$$
$$Aa_3+Ba_2=-1$$
$$A+B+C=0$$
$$Aa_4+Ba_2+Ca_3=-1$$
I think the next one emerges as:
$$A+B+C+D=0$$
$$Aa_5+Ba_4+Ca_3+Da_2=-1$$