Recent content by gopi9

For the example that I took A has eigenvectors [2.206e-6 6.008e-6 0.6912 -0.3835; -4.749e-7 9.304e-6 -0.1487 -0.5940; -0.9776 -0.5424 -0.6912 0.3835; 0.2104 -0.84007 0.1487 0.5940] and B has [0 0 1 0; 0 0 0 1; -0.9776 -0.5424 0 0; 0.2104 -0.84007 0 0]...

Thanks for the reply.I did not understand what u meant by consider vectors of the form (x,y,0,0). I already tried using A' matrix to solve it but could not go any further.

Can we obtain relation between eigenvectors of A and B matrices

I know that d^2<4mk for underdamped, d^2>4mk for overdamped and d^2=4mk for critically damped. This is true if there is only 1 mass and spring and damper. How to use these equations if I have 2 mass, 3 spring and 3 dampers. That is d,m,k are in 2x2 matrices. Please some one help me with this.

I have a question related to this. I know that d^2<4mk for underdamped, d^2>4mk for overdamped and d^2=4mk for critically damped. This is true if there is only 1 mass and spring and damper. How to use this equation if I have 2 mass, 3 spring and 3 dampers. That is d,m,k are in 2x2 matrices...

Thanks brmath. That helps

In my case a,b,c,d are not zeros alephzero. Thanks for the reply

Hi all, I have two matrices A=0 0 1 0 0 0 0 1 a b a b c d c d and B=0 0 0 0 0 0 0 0 0 0 a b 0 0 c d I need to prove that two eigenvalues of A and two eigenvalues of B are equal. I tried to take the determinant of A-λI...

This is an example of A matrix that I have 0 0 1 0 0 0 0 1 -400000 200000 -400000 200000 66666.67 -133333.33 66666.67 -133333.33 I took a=-400000, b=200000, c=66666.67, d= -133333.33

Matlab gives -1 as an eigenvalue but theoretically i can't prove it. There is no mistake in the theoretical proof, i checked it many times. The signs in A matrix are also correct.

I already tried that way. The characteristic equations that I got for A is p^4 - p^3(a+d) + p^2(ad-bc-a-d) +p (2ad-2bc) +ad-bc=0 and for B p^4-p^3(a+d)+p^2(ad-bc)=0 I can't factorize A polynomial equation, since it does not have simple 1 or -1 as roots.

Hi everyone, I have two matrices A and B, A=[0 0 1 0; 0 0 0 1; a b a b; c d c d] and B=[0 0 0 0; 0 0 0 0; 0 0 a b; 0 0 c d]. I have to proves theoretically that two of the eigenvalues of A and B are equal and remaining two eigenvalues of A are 1,1. I tried it by calculating the...

I am not from physics background. I am very good at these stuff. So please help me

Hi If a person jumps(countermovement jump) then there would be 2 impulses that is the 1st impulse would be when person sits down, getting ready to jump and the 2nd impulse would be when he jumps back on to the ground. 1)I want to know the relationship between these 2 impulses. 2) How can we...