Find Transition Matrices for Pd to c Using Given Matrices - Step by Step Guide"

[says]

Homework Statement

Given the 2 Matrices, find the transition matrices, P_{d to c}

d =
[ 1 1 0 ]
[ 0 1 -1 ]
[ 1 1 1 ]

c=
[ 1 0 0 ]
[ 0 1 0 ]
[ 0 0 1 ]

Homework Equations

P_{d to c} = [d] | [c]

The Attempt at a Solution

P_{d 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 ]

 

[DrClaude]

Do you have a question?

 

[says]

Just checking if I'm doing it correctly. Sorry, I should have stated this in my original post.

 

[DrClaude]

Have you checked that P_{d to c} d = c?