Overview
Watch
Read
Next Steps
Watch
Why diagonalization simplifies computing high powers of matrices
📝 My Notes
Auto-saves the current timestamp
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 \(A\)
• Why is it useful?
• Finding High Powers of \(A\)
Key Moments
No key moments available.
Video 1 of 8
Why diagonalization simplifies computing high powers of matrices
14 min
• Selected
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