Question

Linear Algebra: Matrix reduction

Answer 1

How would i place this within a matrix?

\[3x^3 - \ln y = 77\]
\[2x^3 + lny^3 = 66\]

Answer 2

Was thinking of first getting rid of the natural logs but not sure since this is a nonlinear system

Answer 3

no need to worry, just consider x^3 and lny as variable. After solving, take it back to calculate.
ln y^3 = 3lny
that's it.

Answer 4

\[\left[\begin{matrix}3&-1&77\\2&3&66\end{matrix}\right]\]
dat sit

Answer 5

Not sure i understand yet so i regard ln y as just a -1?

Answer 6

OOOOOOOOOOOk
I go slower!!
let x^3 = u
lny = v

Answer 7

Wait i think i get it now, so we just take the coefficient of the Ln y and then plug it back into our answers?

Answer 8

and you have lny^3 = 3 lny, so that lny^3 = 3v ok?

Answer 9

yes, you are correct

Answer 10

Yeah i get it now so at the end i plug the ln y back in

Answer 11

Thank you very much!

Answer 12

ok