Help me solve a matrix
It seems like it's really easy but idk where to start.
It's a 5x5 matrix with the main diagonal being all 2s and the two diagonals on each side of the main diagonal being all 1s. The resultant vector is all 1s.
[url=http://prntscr.com/1xfp9x]Here's the system of equations from the question[/url]
October 15, 2013
5 Comments • Newest first
[quote=HolyDragon]There are online calculators to confirm [b]your[/b] answer.[/quote]
[quote=Al3xL3g3nd]I just need help with making the [b]matrix[/b].[/quote]
[quote=esporteen]apparently four zero's is an "[b]offensive[/b] word" in basil[/quote]
[quote=Al3xL3g3nd]Can you also help [b]me[/b] decipher this problem?[/quote]
[url=http://www.basilmarket.com/show/BasilVersary][i][/i][/url]
BTW that is called a banded matrix I believe, specifically tri-diagonal matrices. There are many solvers specifically for them, they come up fairly frequently, or so I was told. We used them a bit in numerical methods because they come up sometimes.
[quote=Al3xL3g3nd]Thanks for the help.
[url=http://prntscr.com/1xfqj2]Can you also help me decipher this problem?[/url]
I know I just need to make a matrix out of it and then solve it. I just need help with making the matrix.[/quote]
2 3 1 = 450k
2 2 1 = 300k
2 1 1 = 350k
Solve matrices by "row reduction" should be a piece of cake
--using 450k which stands for 450 thousand cause apparently four zero's is an "offensive word" in basil
[quote=HolyDragon]You want to make it so x(n) is the greatest term in an (n) row.
I'll give you help with the first one.
Row 2's should have x(2) as it's highest variable.
Row 2 - 1/2 Row 1
Row 2 will now look like
1.5(x2) + 3(x3) = .5
Multiply by 2
3(x2) + 6(x3) = 1
Then rinse and repeat.
There are online calculators to confirm your answer.
Here's one.
http://www.math.purdue.edu/~dvb/matrix.html
There might be an easier way but there's no way I'd remember.[/quote]
Thanks for the help.
[url=http://prntscr.com/1xfqj2]Can you also help me decipher this problem?[/url]
I know I just need to make a matrix out of it and then solve it. I just need help with making the matrix.
You want to make it so x(n) is the greatest term in an (n) row.
I'll give you help with the first one.
Row 2's should have x(2) as it's highest variable.
Row 2 - 1/2 Row 1
Row 2 will now look like
1.5(x2) + 3(x3) = .5
Multiply by 2
3(x2) + 6(x3) = 1
Then rinse and repeat.
There are online calculators to confirm your answer.
Here's one.
http://www.math.purdue.edu/~dvb/matrix.html
There might be an easier way but there's no way I'd remember.