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Elementary Canonical Forms
Mathematics — Methods · simultaneous-diagonalization
Problem Find an invertible real matrix P P P P − 1 A P P^{-1}AP P − 1 A P P − 1 B P P^{-1}BP P − 1 B P A A A B B B A = [ 1 2 0 2 ] A = \begin{bmatrix} 1 & 2 \\ 0 & 2 \end{bmatrix} A = [ 1 0 2 2 ] B = [ 3 − 8 0 − 1 ] B = \begin{bmatrix} 3 & -8 \\ 0 & -1 \end{bmatrix} B = [ 3 0 − 8 − 1 ] A = [ 1 1 1 1 ] A = \begin{bmatrix} 1 & 1 \\ 1 & 1 \end{bmatrix} A = [ 1 1 1 1 ] B = [ 1 a a 1 ] B = \begin{bmatrix} 1 & a \\ a & 1 \end{bmatrix} B = [ 1 a a 1 ] Browse the problem library