Topic

Diagonalization

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Why diagonalization simplifies computing high powers of matrices

Why diagonalization simplifies computing high powers of matrices

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Why diagonalization simplifies computing high powers of matrices

14:19

About this lesson

Diagonalization Overview:
The Formula \(A=PDP^{-1}\)
• Why is it useful?
• Finding High Powers of \(A\)

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Video 1 of 8

Why diagonalization simplifies computing high powers of matrices

14 min

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Finding matrices P and D to diagonalize a 2x2 matrix

25 min

Determining if a matrix is diagonalizable with a 2x2 example

17 min

Computing A to the power of 4 using diagonalization formula

7 min

Checking if a 2x2 matrix is diagonalizable

17 min

Showing a 3x3 triangular matrix is not diagonalizable

22 min

Diagonalizing a 2x2 matrix by finding P, D, and P inverse

19 min

Proving A inverse is diagonalizable and invertible if A is

14 min