Quadratic Forms, Positive (Semi) Definite, and Negative (Semi) Definite Matrices With Tests/MATLAB
#matrixalgebra #matrices #functions #multivariablecalculus #multivariable #stabilitytheory #stability #dynamicalsystems #dynamics #mathematics #mathtutorials
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In this video tutorial and in the accompanying post, we explain the following topics:
1.) Quadratic forms. The connection between quadratic forms and definite and semi-definite matrices.
2.) Definite matrices. Tests for determining if a matrix is positive (semi) definite, negative (semi) definite, or indefinite. We explain the Sylvester condition for testing positive/negative definitness
3.) Plotting of quadratic forms in MATLAB.
4.) Principal minors of matrices.
5.) Leading principal minors of matrices
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