|Sep9-10, 06:08 PM||#1|
Linear Algebra -- Cubic Equation from Given Points
1. The problem statement, all variables and given/known data
Find the equation to the third polynomial that flows through the given points: (0,1); (1,0); (-1,0); (2, -15).
2. Relevant equations
f(t) = a + bt + ct^2 + dt^4
Need to find a, b, c, and d.
3. The attempt at a solution
See attachment. When I plug my answer back in, it obviously doesn't work; however, I cannot figure out where I missed up the matrix.
Any help is greatly appreciated.
|Sep9-10, 07:30 PM||#2|
There is an error in the last column of your third matrix. You did not subtract 1 in the last column. It should be 0 2 4 8 -16, not -15.
|Sep9-10, 08:30 PM||#3|
Thanks for catching that mistake. Found another algebra mistake in another matrix, but all in all, I figured everything out. Thanks again for pointing out my miscue.
|Similar Threads for: Linear Algebra -- Cubic Equation from Given Points|
|Calculating vanishing points with Linear Algebra.||Differential Geometry||0|
|Finding the equation to a non-linear set of points||Precalculus Mathematics Homework||4|
|Develop Cubic equation with a few points||Precalculus Mathematics Homework||5|
|Proof, equation of a plan, linear algebra||Calculus & Beyond Homework||5|
|Linear Algebra - Spanning / Matrix Equation||Calculus & Beyond Homework||1|