Recent content by top40

So a matrix that 1) can be LU decomposed and 2) does not have an inverse does not have a unique solution?

Why is that?

I just read wikipedia, and this is what it had to say: "Rather than actually computing the inverse of this matrix [they are talking about J], one can save time by solving the system of linear equations F * dx = -F for the unknown dx." So then I did more reading and found that a singular...

I have a nonlinear system of equations and am using the Newton raphson method to solve for them. The method is basically as follows: J*dx = -F, where J is the jacobian matrix, dx is a vector whose elements are the changes to x, F is a vector whose elements are the function values at x. To...

There are two references frames, A and B. Let A's reference frame be denoted by the columns of the identity matrix, and let A's origin be (0,0,0). Let B's reference frame and origin be denoted by a transformation matrix T, where T = R11 R12 R13 x R21 R22 R23 y R31 R32 R33 z 0 0 0 1...