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Complex eigenvalues

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Reviewing complex numbers before complex eigenvalues

Reviewing complex numbers before complex eigenvalues

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Reviewing complex numbers before complex eigenvalues

6:19

About this lesson

Complex Eigenvalues Overview:
Review of Complex numbers
• The square root of -1
• Finding complex roots using the quadratic equation
• Re\((v)\) and Im\((v)\) of Complex vectors

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Video 1 of 10

Reviewing complex numbers before complex eigenvalues

6 min

Selected

Finding complex eigenvalues and eigenvectors of a 2x2 matrix

17 min

Finding the argument of a matrix using complex eigenvalues

15 min

Using A = PCP inverse for matrices with complex eigenvalues

18 min

Finding complex eigenvalues and eigenvectors of a 2x2 matrix

22 min

Finding eigenvalues, scale factor, and rotation angle from a 2x2 matrix

10 min

Finding complex eigenvalues, scale factor, and argument for a matrix with square roots

11 min

Finding matrices P and C for A = PCP⁻¹ using complex eigenvalues

19 min

Proving Re(AX) = A·Re(X) and Im(AX) = A·Im(X) for real matrices

8 min

Proving A·Re(v) and A·Im(v) formulas for complex eigenvalues

11 min