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A, B, and C are 2 x 2 matrices. Solve eqn for C: B=(BC+2A)

Linear spaces and subspaces, linear transformations, bases, etc.
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testing
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A, B, and C are 2 x 2 matrices. Solve eqn for C: B=(BC+2A)

Postby testing » Wed Mar 25, 2009 7:46 pm

A, B, and C are 2 x 2 matrices. Solve the equation for C: B=(BC+2A)

My quess is this: C=inv(A)-(2A)(inv(B)), but I am not sure...that is whay I am writing you.

Thank you for your time
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stapel_eliz
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Postby stapel_eliz » Wed Mar 25, 2009 9:39 pm

A, B, and C are 2 x 2 matrices. Solve the equation for C: B=(BC+2A)
Possibly you're over-thinking things...? :oops:

You have:

. . . . .B = BC + 2A

. . . . .B - 2A = BC

Then multiply (on the left) by the inverse of B. :wink:
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