The Purplemath Forums

by **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

**Sponsor**

by **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:

The Purplemath Forums

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

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