Question

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

Answer 1

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

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

Solves and gives:

a=1

b=1

g=e+f