SOLUTION: Give an example of two invertible 2×2 matrices A and B such that (A + B)<sup>I</sup> = 6*A<sup>I</sup> + B<sup>I</sup> .

Algebra ->  Matrices-and-determiminant -> SOLUTION: Give an example of two invertible 2×2 matrices A and B such that (A + B)<sup>I</sup> = 6*A<sup>I</sup> + B<sup>I</sup> .      Log On


   

Question 668868: Give an example of two invertible 2×2 matrices A and B such that
(A + B)I = 6*AI + BI
.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
There are lots of possibilities.  Here are three different examples:

A = %28matrix%282%2C2%2C4%2C-1%2C4%2C2%29%29
B = %28matrix%282%2C2%2C2%2C5%2C0%2C1%29%29

A = %28matrix%282%2C2%2C-1%2C-1%2C-1%2C5%29%29
B = %28matrix%282%2C2%2C1%2C0%2C0%2C-1%29%29

A = %28matrix%282%2C2%2C5%2C-1%2C-1%2C-1%29%29
B = %28matrix%282%2C2%2C3%2C2%2C2%2C1%29%29

Edwin