- #1

xipe

- 9

- 0

## Homework Statement

Use the given info to find matrix B

## Homework Equations

(I + 3B)^-1 = [5 2; 4 2]

to make more clear:

inv(I + 3B) = this 2x2 matrix: top row = 5 2, bottom row = 4 2

## The Attempt at a Solution

I tried multiplying both sides of the eqn by I + 3B to get I = [5 2; 4 2](I + 3B)

Then tried to multiply the two quantities (using B = [a b; c d])

Tried to set that product equal to the identity matrix and solve for the unspecified constants, a b c d.

After that I plugged the values into the the product found in the previous step

I then should have acquired the correct matrix B, but alas, it wasn't even close.

If I am overlooking some elementary matrix 'algebra', or any hints at all would be greatly appreciated.

Thank you!