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Questions on the manipulation of matrices in Mathematica.

3 votes
1 answer
53 views

How can I create a large matrix without running into hangs or recursion errors?

I'm trying to create a probability matrix, starting by creating a 100,000 by 100,000 identity matrix. …
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2 votes
1 answer
1k views

How can I tell if a matrix is ill-conditioned or Singular by using the Eigensystem function(...

How high or low does the condition number have to be for us to deem the corresponding matrix ill-conditioned? … On one matrix, the condition number is $\infty$, I'm sure this is ill-conditioned, but the other numbers are something like 14.555555, and 120.4, etc. …
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  • 257
1 vote
1 answer
63 views

Why do I keep getting the same time from the Timing function?

The matrix for n=100000 ran for probably 20 mins and still returned 0.015625. … My process to create the matrix is basically: A = IdentityMatrix[100000, SparseArray]; For[i = 2, i < 100000, i++, A[[i, i]] = -1; A[[i, i - 1]] = .5; A[[i, i + 1]] = .5 ]; The vector is created …
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  • 257