Diagonal matrix Definition and 53 Threads

  1. H

    How can a diagonal matrix be represented in matrix form?

    Perhaps a silly question. I have a vector: a=[a_1 \ a_2 \ a_3 \ ...\ a_n]^T that I want to turn into a diagonal matrix. Is there an elegant way to represent this? I thought maybe something like: a^TI would do, but it doesn't. I suppose I can use the kronecker delta and subscript...
  2. T

    Help Diagonal matrix similar to upper triangular matrix?

    I have been thinking about this for a week and I simply can't get anywhere. consider a 4x4 diagonal matrix such that if a11 > a22 > a33 > a44, (0's everywhere else) then it is similar to another matrix with the same diagonal but 0's in upper triangular part an any numbers in the lower...
  3. A

    Is the Inverse of a Diagonal Matrix Simply the Inverse of Its Elements?

    is the inverse of a diagonal matrix always just calculated by taking the inverses of each number in the matrix?