Slides_2010_01_27 - Applied linear algebra and numerical...

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Applied linear algebra and numerical analysis Session 10 Prof. Ulrich Hetmaniuk Department of Applied Mathematics January 27, 2010
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Example Compute the rank, the nullity and a basis for the nullspace for A = 2 8 6 0 - 2 6 8 14 1 4 3 0 1 2 1 - 2 (rank = 2, nullity = 2)
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Matlab Example Program a function g defined for any square matrix such that g ±² 1 2 3 4 ³´ = 2 + 3 = 5 g 1 2 3 4 5 6 7 8 9 = 3 + 5 + 7 = 15
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Matlab Function Page 1 homework03_g.m Printed: 1/27/10 4:22:32 PM Printed For: h e function tt = MyFunction(A) % % Computes the sum of the 'opposite' diagonal entries % of a square matrix. % % Input: % * A square matrix A % % Output: % * The sum of the 'opposite' diagonal % % Example: % % A = [2, 1; % 3, 5] % % The result is 1 + 3 = 4. % % UH (01/10) n = size(A, 1); if (n ~= size(A, 2)) error('\n The function g works only with square matrices ! \n'); end tt = 0.0; for ii = 1:n, tt = tt + A(ii, n+1 - ii); end Save in “MyFunction.m” & call with MyFunction(A).
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This note was uploaded on 03/31/2010 for the course AMATH 352 taught by Professor Leveque during the Winter '07 term at University of Washington.

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Slides_2010_01_27 - Applied linear algebra and numerical...

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