olgapagan4558 olgapagan4558
  • 08-04-2022
  • Mathematics
contestada

Is it possible that all solutions of a homogeneous system of ten linear equations in twelve variables are multiples of one fixed nonzero solution

Respuesta :

aradjudy
aradjudy aradjudy
  • 08-04-2022

The answer is no, because the Rank Theorem tells us that rank A + dim Nul A = 12 . Since the rank can be at most 10, the null space has to have dimension at least two.

Answer Link

Otras preguntas

How do you simplify -14/63
Find the solution of each equation using mental math or a table.  If the solution lies between two consecutive integers, identify these integers.j-18=2
Why did so many people invest in the stock market in the 1920s?
What did the Puritans believe to be their purpose in coming to America (their "mission"), and how did church and state cooperate to achieve this goal?
should video gamers be prosecuted for stealing virtual objects ?
answer this question...........the equater and the tropic of Capricorn both run through this continent.list the continent here .thanks
How do you solve:z = 8 + 6x - px
How many kilometers is 5.82 x 10⁴ cm?
How do you solve:z = 8 + 6x - px
If 2x-6 is an even integer, what is the next consecutive even integer