Answer:
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Step-by-step explanation:
Answer:
is linearly dependent set.
Step-by-step explanation:
Given: is a linearly dependent set in set of real numbers R
To show: the set is linearly dependent.
Solution:
If is a set of linearly dependent vectors then there exists atleast one such that
Consider
A linear transformation T: U→V satisfies the following properties:
1.
2.
Here, ∈ U
As T is a linear transformation,
As is a linearly dependent set,
for some
So, for some
Therefore, set is linearly dependent.
Answer:
Step-by-step explanation:
9. discount is 9 dollars. sale price is 36 dollars
10. discount is 135 dollars sale price is 315
11. discount is 7.20 dollars, sale price is 41.80
12. discount is 37.50. sale price is 112.50
13. discount is 590. sale price is 870
14. discount is 42. sales price is 42
15. discount is 32.50. sales price is 292.50
16. discount is 29.75. sales price is 56.25
17. The similarities is that there's a difference in the original price, usually in a percentage. The difference is that a markup is a increase whereas a discount is a decrease
To find out if they are parallel we need to see if the gradient is the same, to do this we need to get y in terms of x:
assuming the first equation is x+y+7=0
y=-x-7
and
y=x-3
The gradient is the coefficient of x (the number infront of x)
For equation 1 the gradient is -1, and for number 2 it is 1, therefore they are not parallel.
However to check if they are perpendicular we need to see if their gradients multiply to equal -1.
-1*1=-1 therefore they are perpendicular