201226684 201226684
  • 09-04-2022
  • Mathematics
contestada

is it possible to write vector (-5,6) as a linear combination of vectors (1,2) and (3,4)

Respuesta :

surjithayer surjithayer
  • 09-04-2022

Answer:

Step-by-step explanation:

-5i+6j=x(1i+2j)+y(3i+4j)

-5=x+3y(multiply by 2)

6=2x+4y

-10=2x+6y

subtract

16=-2y

y=-8

-5=x+3(-8)

x=-5+24=19

-5i+6j=19(i+2j)-8(3i+4j)

so we can write (-5,6) as a linear combination of (1,2) and (3,4)

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