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The characteristic equation

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Intro to the characteristic equation for finding eigenvalues

Intro to the characteristic equation for finding eigenvalues

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Intro to the characteristic equation for finding eigenvalues

1:37

About this lesson

The Characteristic Equation Overview:
What is the Characteristic Equation?
• \(\det (A-\lambda I)=0\)
• The characteristic polynomial is \(\det (A-\lambda I)\)

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Video 1 of 11

Intro to the characteristic equation for finding eigenvalues

2 min

Selected

Finding eigenvalues of a 2x2 matrix using the characteristic equation

6 min

Determinant tricks for 3x3 and triangular matrices with lambda

13 min

Understanding eigenvalue multiplicity: distinct vs repeated

4 min

Finding the characteristic polynomial of a 2x2 matrix

5 min

Finding the characteristic polynomial of a 3x3 triangular matrix

7 min

Finding eigenvalues using the quadratic formula and their multiplicity

8 min

Finding eigenvalues of a 3x3 matrix using the characteristic equation

16 min

Eigenvalues of a 5x5 triangular matrix with multiplicity

7 min

Proving A and A transpose have the same characteristic polynomial

8 min

Proving the characteristic polynomial of a triangular matrix with equal diagonal entries

6 min