can you express 14 17 ? 23 as a linear combination of v?
v= (2 1 -1), (1 -1 2), (4 5 -7)

No ,we cannot express 14,17,23 as a linear combination of V

Step-by-step explanation:

Here 14,17,23 can be written as linear combination of V if we have a,b and c all non zero such that

(14,17,23) = a(2,1,-1)+b(1,-1,2)+c(4,5,-7)

(14,17,23) = (2a,a,-a)+(b,-b,2b)+(4c,5c,-7c)   [ scalar multiplication ]

(14,17,23)= (2a+b+4c,a-b+5c,-a+2b-7c)    [ vector addition ]

2a+b+4c = 14               equation 1

a-b+5c= 17                  equation 2

-a+2b-7c =23             equation 3

Here we  have three simultaneous equations

Since equation 2 and 3 has sign of a is opposite  with coefficient 1,adding both equations,we get

b-2c = 40

multiplying equation equation 3 by 2 and adding it to equation 1 in order to eliminate the term a

2a+b+4c=14

-2a+4b-14c=46

adding 5b-10c = 60

           divide it both sides by 5 ,we get

              b -2c = 12

here we see that  left side of two equations same but right side is not same

therefore solution doesnt exist .

Moreover given set of Vectors in V are not linear independent

since their determinant is zero

in order to write linear combination ,we need to have linearly independent vectors

there exist not values of a  ,and c

therefore we cannot express 14,17,23 as linear combination of V

javeir earned 56 dollors more than kyle so kyle and javier had 14w but javier made 56 dollors more so 14w plus 56 equals 70w so kyle has 14w

step-by-step explanation: hope i plz give me brainliest with the points so this is not constant cause it says last week so its clearly not every week

the car was traveling 40 mph before it started skidding. ( 2 points ) 17. was the driver were her brakes working at 75% efficiency or better? ( 2 points ) yes 29.

step-by-step explanation: