Hello
My daughter is doing a college assignment and I managed to help her with the majority of the question but cannot figure out the last part.
I have the characteristic equation and have made that a cubic but unsure on the M^-1 part
Thanks
Hello
My daughter is doing a college assignment and I managed to help her with the majority of the question but cannot figure out the last part.
I have the characteristic equation and have made that a cubic but unsure on the M^-1 part
Thanks
ok, this is what i have, but you may want to check my arithmetic, because i DO make mistakes:
the Cayley-Hamilton theorem tells us M satisfies its own characteristic equation, which is .
therefore: , or put another way:
.
the trouble is now how to express in terms of . to accomplish that, we write:
, so that evidently:
, or:
, and re-arranging:
.
substituting back in our original equation:
, obtaining:
p = 23, q = -18, r = -40.