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

Linear spaces and subspaces, linear transformations, bases, etc.

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

Postby testing on 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
testing
 
Posts: 21
Joined: Sun Dec 07, 2008 12:26 am

Sponsor

Sponsor
 

  TOPIC_SOLVED

Postby stapel_eliz on Wed Mar 25, 2009 9:39 pm

testing wrote: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:
User avatar
stapel_eliz
 
Posts: 1715
Joined: Mon Dec 08, 2008 4:22 pm


Return to Matrix (Linear) Algebra