Reviewing complex numbers before complex eigenvalues
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Reviewing complex numbers before complex eigenvalues
6:19
About this lesson
• The square root of -1
• Finding complex roots using the quadratic equation
• Re\((v)\) and Im\((v)\) of Complex vectors
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Reviewing complex numbers before complex eigenvalues
6 min
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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