Invariant subspaces of linear maps: Matrices and coordinate transformations
Conjugate matrices
The following two matrices #A# and #B# are conjugate: \[ A = \matrix{5&-2\\ 2 &3}\phantom{xxx}\text{ and }\phantom{xxx} B = \matrix{-15 & -14 \\ 26 & 23 \\ }\] Determine a conjugator #T# from #A# to #B#; that is, an invertible #(2\times2)#-matrix #T# such that \[ B = T\, A\, T^{-1}\]
#T = # |
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