Linear Systems and Matrices / Translations of Conics
Solve the system of linear equations and check any solution algebraically.
5x - 3y + 2z = 3
2x + 4y - z = 7
x - 11y + 4z = 3
Okay so I put this in my T1-84 in matrix a with the proper coefficent values.
I use rref([A]) and this is the solution set I get-
1 0 5/26 0
0 1 -9/26 0
0 0 0 1
Generally the solution is in the last line of solutions. Anyhow, I am very confused on how to solve this by hand to get a solution. Also, is this a special case? A solution and walkthrough would be appreciated.
Write the form or the partial fraction decomposition of the rational rexpression. Do not solve for constants.
x^2 - 3x + 2
4x^3 + 11x^2
As long as the highest degree is on the bottom it is not an irrational partial fraction right? I would like the solution and walkthrough on this as well.
Find the center, foci, and vertices of the ellipse, and sketch its graph.
9x^2 + 4y^2 - 36x + 8y + 31 = 0
I seperate these by terms correct?
(9x^2 - 36x ) + (4y^2 + 8y ) = -31
Do I factor this next?
9(x^2 - 4x) + 4(4^2 + 2y) = -31
If this is the correct track, I am lost from here.
I would like the solution and walkthrough on this as well.
Thanks in advance!