Recent content by steph_swords

yeah that would work, I guess it's one of those times the simplest answer is the right answer. thanks for all your help.

okay I want to say I get it but I think my issue here is I don't know what format answer I am looking for. Is the inverse just going to be in the form of an equation as well?

that it's equal to the inverse of A.

you can factor out an A from the first equation and be left with A(B) = 1, am I on the right track?

I recognize all that. In the last case, B would be equal to the inverse of A. I know there is just something so small that I am missing, and I know I'll feel like an idiot when I see it. do i have to solve for A in the first equation so that I have an A= and a B=? idk I'm just frustrated, this...

i think what's messing me up is the fact that there are equations involved. i understand how to do the inverse of a matrix, but I can't seem to connect the dots between the idea of a matrix and how it relates to the given equations.

can you be more specific? for some reason i just can't see how to do this, I've literally spent over 2 hours attempting to solve it.

Suppose that A is an nxn matrix which satisfies the equation A3 - 2A2 + 3A - I = 0 Show that the nxn matrix B defined by the equation B = A2 - 2A +3I is invertible and find its inverse. Does anyone have any idea what this type of problem is called, and what steps you take to solve it?