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Linear algebra meiling chen - PowerPoint PPT Presentation

Lecture 28

Lecture 28. is positive definite Similar matrices Jordan form. Positive definite means. Except for. Is the inverse of the symmetric positive matrix also the positive matrix? If A and B are positive definite, how about (A+B)?. Now A is m by n matrix and rank(A)=n.

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Lecture 18

Lecture 18. Determinants det(A) square matrix Properties. Properties : Exchange rows reverse sign of det 2 equal rows ? det=0 (exchange rows get same matrix only probability is 0). Linear for each row. Subtract l*row i from row j det does not change 6 row of zeros ? det(A)=0

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Linear algebra meiling chen - PowerPoint PPT Presentation

Lecture 28

Lecture 18