Heir it is solved.
Throught the inverse matrix.
I need to find if
is a linear combination of
1 3 2
-1 1 2
2 -2 -4
I set it up so i had 3 equations they were
3 = x1 + 3x2 +2x3
-1 = -x1 + x2 + 2x3
2 = 2x1 - 2x2 - 4x3
where x1, x2, and x3 are variables. I should be able to solve these and then find the values of the variables and those are the #'s which will make the linear combination possible. But I can't figure it out!!! Help!!!
solving a set of three linear simultaneous equations to that
of inverting a 3x3 matrix. Other than that you have given the
inverse, so having effectively given the answer, you leave the
OP with a task they are less likely to be able to do.
Now replace the third row by the third row minus twice the firstCode:3 = x1 + 3.x2 +2.x3 2 = + 4.x2 +4.x3 2 = 2.x1 - 2.x2 - 4.x3
Now we see that the last two rows are multiples of one another,Code:3 = x1 + 3,x2 +2.x3 2 = + 4.x2 +4.x3 -4 = - 8.x2 - 8.x3
which leaves us with two effective equations in three unknowns.
This leaves us with multiple solutions so assume a value for x3
and then solve for x1 and x2 in terms of this.
For instance x1=3/2, x2=1/2, x3=0 looks like a solution to me
(assuming no arithmetic errors).
he should have inverted is singular, third even if the matrix was not
singular he is replacing a simple process related to Gaussian elimination
by a more complex problem without showing how to solve the new