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We are in the process of revising our 2 quarter sequence on Linear Algebra and ODEs. (The prerequisite is a 2 quarter sequence in differential and integral calculus. This is a service course for hard science and engineering majors.) For the Linear Algebra, I want to de-emphasize (but not eliminate) the 'by hand' calculation of reduced row echelon form, matrix inverses, characteristic polynomials, etc and introduce a Matlab component. The course should include mention of iterative methods for computing eigenvalues/eigenvectors, as well as the singular value decomposition. The students have no previous exposure to Matlab.

Can anyone recommend a Linear Algebra text that work well with Matlab?

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Have you seen this and this? – J. M. Oct 20 '11 at 17:12
Cleve Moler also published a book that seems to cover the stuff you want: Numerical computing with MATLAB – Peter Sheldrick Oct 20 '11 at 17:33
@Peter: NCM is a bit wide, and focuses more on learning how to use MATLAB for numerical computing, and not much on the linear algebra guts... – J. M. Oct 20 '11 at 17:40
@JM: Thanks, the Williams book looks very promising. – stopple Oct 20 '11 at 19:49

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