Answer:
Step-by-step explanation:
The question to be solved is the following :
Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if 
. Recall that given two vectors a,b a⊥ b if and only if 
where 
is the dot product defined in 
. Suposse that 
. We want to find γ such that 
. Given that the dot product can be distributed and that it is linear, the following equation is obtained
Recall that 
are both real numbers, so by solving the value of γ, we get that
By construction, this γ is unique if 
, since if there was a 
such that 
, then
Answer as an improper fraction = 13/8
This is equivalent to the mixed number 1 & 5/8
In decimal form, 13/8 = 1.625
=========================================
Work Shown:
3/4 = (3/4)*(2/2)
3/4 = (3*2)/(4*2)
3/4 = 6/8
----------
7/8 + 3/4
7/8 + 6/8
(7+6)/8
13/8
So 7/8 + 3/4 = 13/8
This is a linear equation as when you graph it you get a line
Answer:
Alina owes $4 to Mya and Mylana owes $1 to Mya and $1 to Genesis.
Step-by-step explanation:
As they want to share the party expenses equally, first you have to add all the expenses and divide them by 4 people to know the amount that each person has to pay:
$21+$25+$16+$18= $80/4= $20
As everyone has to pay $20 for the party expenses, we can see that Genesis spent $1 more and Mya $5 more, so they have to get the money back from the other 2 people.
Alina owes: $20-$16= $4. She owes $4 to Mya as she will pay the entire amount she owes to one person and Mya has to get $5 back.
Mylana owes: $20-$18= $2. She would have to pay $1 to Mya to complete the $5 she had to get back and $1 to Genesis.
