function of a matrix

06262019, 04:03 AM
Post: #1




function of a matrix
Is there any way to have functions such as EXP, SIN, COS, LOG, SQRT, etc...accept matrix argument (square matrix)? I know how to go through the eigenvector and eigenvalues and implement this but other calculators even my old TI92 could easily accept square matrix and give the exp() of it for example


06262019, 05:41 AM
Post: #2




RE: function of a matrix
Yes, this is builtin from CAS, e.g exp([[1,2],[3,4]]) (exact) or exp([[1.,2.],[3.,4.]]) (approx). Exact will work only if eigenvalues can be computed symbolically, approx will not work if matrix is not diagonalizable.


06262019, 11:11 AM
Post: #3




RE: function of a matrix
(06262019 05:41 AM)parisse Wrote: Yes, this is builtin from CAS, e.g exp([[1,2],[3,4]]) (exact) or exp([[1.,2.],[3.,4.]]) (approx). Exact will work only if eigenvalues can be computed symbolically, approx will not work if matrix is not diagonalizable. Thanks! I actually realized that it works in CAS after my post. Sorry about that. I am very new to this. I just got my Prime 2 days ago and there is a lot to learn yet but why it doesnt work in Home screen (numerical mode?)? I also have a off topic question, what is the largest matrix size that Prime can handle? for things like solving linear equations, or eigensystem calculation, LU decomposition, inverse, etc.... 

06282019, 07:53 PM
Post: #4




RE: function of a matrix
Inside CAS, approx numeric matrix computations run fast enough at size 100. This should be sufficient for a calculator. If you need larger matrices, a computer is probably more appropriate...


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