Answer:
Let
the matrix associated to the system and
the vector of constant values of the system.
The equation of the line joining p and q is
. Since p and q are solutions of the linear system then,
and ![Aq=b](https://tex.z-dn.net/?f=Aq%3Db)
Let
. Observe that
. Then w is a solution of the homogeneous system Ax=0.
Now, let s=p+r(q-p) for some
be a point in the line joining p and q. Observe that
![As=A(p+r(q-p))=Ap+rA(q-p)=Ap+rAw=b+r*0=b](https://tex.z-dn.net/?f=As%3DA%28p%2Br%28q-p%29%29%3DAp%2BrA%28q-p%29%3DAp%2BrAw%3Db%2Br%2A0%3Db)
Then As=b. This means that s is a solution of the linear system.
Answer:
3x^3 - 11x^2 + 93x - 105
Step-by-step explanation:
(x+5) (x-9) (x+1) (3) FOIL (First, Outside, Inside, Last)...
x^2 - 9x + 5x - 35 (3x+3) Multiply
3x^3 + 3x^2 - 27x^2 - 27x + 15x^2 + 15x - 105x - 105 Combine Like Terms...
3x^3 - 11x^2 + 93x - 105
Answer:
5 and 6 as well as 2 and 3
Step-by-step explanation:
Answer:
yes, it is a negative number.
Step-by-step explanation:
example: -6 - 6 = -12
The ordered pair that represents a maximum is (5,189)