mollyann2361 mollyann2361
  • 01-03-2021
  • Mathematics
contestada

Write an expression that can be used to produce vector g from vectors e and f.

Write an expression that can be used to produce vector g from vectors e and f class=

Respuesta :

really226
really226 really226
  • 01-03-2021

Answer:

g=e+f

Step-by-step explanation:

e= (-1,5)=-1i+5j

f=(3,-4)=3i-4j

g=(2,1)=2i+j

Let there exist real constant a,b:

ae+bf=g

For i: -a+3b=2

For j: 5a-4b=1

[tex]\left[\begin{array}{ccc}-1&3&2\\5&-4&1\end{array}\right][/tex]

Solves and gives:

a=1

b=1

g=e+f

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