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Homework Statement
Given the 2 Matrices, find the transition matrices, Pd to c
d =
[ 1 1 0 ]
[ 0 1 -1 ]
[ 1 1 1 ]
c=
[ 1 0 0 ]
[ 0 1 0 ]
[ 0 0 1 ]
Homework Equations
Pd to c = [d] | [c]
The Attempt at a Solution
Pd to c = [d] | [c]
[ 1 1 0 | 1 0 0 ]
[ 0 1 -1 | 0 1 0 ]
[ 1 1 1 | 0 0 1 ]
The process of getting the transition matrix involves row reducing until we have the identity matrix on the left hand side. The right hand side will then be = the transition matrix.
Transition matrix =
[ 2 -1 -1 ]
[ -1 1 1 ]
[ -1 0 1 ]