linear

1. Linear Algebra + three equations and two parameters

Find the values of the parameters a and p for which the system x+5y=6 -6y+az=p x+ay+z=p+4 has infinitely many solutions I don't really know how i should find the value for the parameters. Should i do a gaussian elimination?
2. 2nd order linear IVP

Hi, I have been struggling with a second order homogeneous differential equation problem was hoping to get some help please. In a galvanometer, the deflection Ã˜ satisfies the differential equation: dÂ²Ã˜/dtÂ² +4dÃ˜/dt +4Ã˜ = 8 Solve the equation for Ã˜ given that when t = 0, Ã˜ = dÃ˜/dt = 2
3. Linear functional prove

I succeed in proving that the right side is contained in the left side of the equation, but I didn't succeed to prove the opposite direction. I think I should do here something with bases for each of the spaces here, but I don't know how. Please help me here...
4. Linear algebra problem

I appologize ahead of time that math isnt my strong suit, I understand most the basic concepts but lots of gaps. So forgive me if i miss use a concept. So I am working in a 3d engine intergrating a physics library. The physics library uses a world coordents which are located in the center of...
5. Linear Algebra problem

Hi, Can anyone help me on this one? Find the values of the parameters a and p for which the system: x+5y=6 -6y+az=p x+ay+z=p+4 has infinitely many solutions. Is it necessarily true that a (non-homogeneous) system with as many unknowns as equations has infinitely many solutions, given that...
6. Linear Systems Problem

Hi, this question was found in my calc 2 textbook and I'm not sure how to solve it. Laboratory mice are fed with a mixture of two foods that contain two essential nutrients. Food 1 contains 3 units of nutrient A and 2 units of nutrient B per ounce; food 2 contains 4 units of nutrient A and...
7. what can you conclude about the number of solutions of the linear system Ax = b?

Let A be a 3Ã—4 matrix. If b=a1+a2+a3+a4 then what can you conclude about the number of solutions of the linear system Ax=b? Explain. How to solve this? I am trying but did not get anywhere. Help please.
8. Linear Independence

Are the matrices 1 1 1 1 0 -1 1 0 2 0 0 2 0 1 -1 -1 linearly independent? Can you show me how you obtain the answer?
9. 2 Order Linear Nonhomogeneous ODE problem

I have a problem working out the particular solution for this ODE: y''-y'=4cosh(x) yh = Ae^0x + Be^x = A + Be^x yp => cosh(x) = 0.5(e^x + e^-x) 4cosh(x) = 2(e^x + e^-x) yp = Cxe^x + Dxe^-x yp' = Cxe^x+Ce^x - Dxe^-x + De^-x yp'' = Cxe^x + Ce^x + Ce^x + Dxe^-x - De^-x - De^-x...
10. Linear Equations

Hi I'm having a really hard time on these question and honestly don't know how to solve them. Find the equation (in the form y=mx+c) of the line a) passing through (1,5) with slope 6 c) passing through (3,-1 1over3) and having slope -1 e) vertical and passing through (6,-3) Equations of...
11. System of Linear Equation

Hi, I'm trying to graph this Linear equation. The first equation in black is: 2x-5y=0 The second in blue is: 2x+3y=0 I have attached my work but I'm not sure if it is correct.I'll be greatfull if you can do it in other methods such the table or Let x=0, Let y=0
12. Equivalence proofs concerning matrices and systems of linear equations

Let $\mathbf A$ be the augmented $m Ã— (n + 1)$ matrix of a system of $m$ linear equations with $n$ unknowns. Let $\mathbf B$ be the $m Ã— n$ matrix obtained from $\mathbf A$ by removing the last column. Let $\mathbf C$ be the matrix in row reduced form obtained from $\mathbf A$ by...
13. Singular Matrix and Linear Dependency

I am asked to prove this: Matrix is singular<=>columns are linearly dependent<=>determinant is zero<=>matrix is singular I have proved everything except for the first implication, which I can't find anywhere. Can someone prove that if a matrix is singular, its columns are linearly dependent...
14. Linear program

Hi everyone, Could you help me to model the following constraint in a LP z=1 if x!=y z=0 if x=y knowing that x,y and z are binary decision variables (0/1) we can also express it as: z=x+y case1 z=x-y case2 Thank you in advance
15. OpenOffice macro for solving linear system of equations

Download OpenOffice macro for solving linear system of equation. Lotto Numbers Generator Based on Statistic and Customized Filters, Statistical Charts Display
16. Linear Functions, and Parallel planes

The equation for a linear function is z=z0 + m(x-x0)+ n(y-y) I am supposed to write about "What can you say about m and n from the plane you found and the plane given, z = 1 + x + 6y. We were given that plane, and the point (1,1,1). Using my other two equations for a linear function, I...
17. Eigenvalues of piecewise linear systems

Hi all, I am a theoretical ecology M.Sc student and I'm struggling with the calculation of the eigenvalues of a fairly simple system. I have a difference equations system where the following 3x3 state matrix: line 1:[0, 1-x, 1-x] line 2:[k1, 0, 0] line 3:[0, k2, k3] is valid over x...
18. Solving for a square

Hi, I've thrown this equation up as part of some research I'm doing. y^2 = 1263465 + 144*x I was hoping there is a quick way to solve this without stepping through all the values. The value I'm interested in is x = 1579, but other x values satisfy for y as well, although I'm not...
19. Linear congruences application?

Does anyone know what are some of its application? it can be in math or in real life.
20. linear algebra find abc that satisfy infinitely many solutions

from this question i got up to reduced row echelon form of the linear system that is [1 0 1 a-c; 0 1 1 c; 0 0 0 b-a+c] but from here I can't figure out the way to solve are you meant to get exact numbers to a b c or just specify their ranges help me on this from here I know...