Question

Question 2.
Find all solutions of the system of equations:
−2x3 − 2x4 +x5 + 2x6 = −6
2x1 + 2x2 +x3 + x4 −4x5 − x6 = 4
2x1 + 2x2 −4x5 = 2
−x1 − x2 + x4 +4x5 = −2

Answer 1

ohhhh

Answer 2

misunderstood the question....when you say all solutions do you just mean Ax=b

x=(A^-1)b

Answer 3

is this for linear algebra?

Answer 4

yep

Answer 5

are you going over isomorphism ?

Answer 6

no

Answer 7

are those exponents?

Answer 8

-2x^3 or sub script -2x_3?

Answer 9

done gaussian, row operations, cofactor, inverse, cramer...

Answer 10

ohh

Answer 11

didn't realise....2x^2 for e.g.

Answer 12

not 2x2

Answer 13

so they are exponents?

Answer 14

yep...can be put in a matrix

Answer 15

\[-x^{2}\]

Answer 16

−2x^3 − 2x^4 +x^5 + 2x^6 = −6
2x^1 + 2x^2 +x^3 + x^4 −4x^5 − x^6 = 4
2x^1 + 2x^2 −4x^5 = 2
−x^1 − x^2 + x^4 +4x^5 = −2

Answer 17

yes thats right

Answer 18

when the questions asks for all solutions does it just mean Ax=b

x=(A^-1)b

Answer 19

so the inverse multiplied by the vector they are equal to?

Answer 20

yeah, but I forgot how to do this, sorry its been a while. I thought i was onto it but I guess not.

Answer 21

ok thats cool

Answer 22

oh yeh i think i get it...there can only be one solution

Answer 23

in this matrix i think