Answer:
True. See the explanation and proof below.
Step-by-step explanation:
For this case we need to remeber the definition of linear transformation.
Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:
1) T(x+y) = T(x) + T(y)
2) T(cv) = cT(v)
For all vectors 
and for all scalars 
. And A is called the domain and B the codomain of T.
Proof
For this case the tranformation proposed is t: 
Where 
For this case we have the following assumption:
1) The transpose of an nxm matrix is an nxm matrix
And the following conditions:
2) 
And we can express like this 
3) If 
and then we have this:
And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.
A quarter, two dimes, and two pennies.
Answer:
The expression: x + 3x + (3x-5)
Step-by-step explanation:
Okay, so x is the amount of $ spent. And three times means 3x, and 5 less on entertainment is 3x - 5. So put the expression together and you get x + 3x + (3x-5). Now plug in 10 for x so 10+3(10) + (3(10) -5).
B. $30
C. $25
D. $65
The volume of the rectangular prism with the dimensions given are as follows:
v = 72 inches³
v = 36 inches³
v = 80 inches³
v = 54 inches³
<h3>Volume of a rectangular prism</h3>
where
l = length
w = width
h = height
Therefore,
a.
- v = 4 × 3 × 6 = 72 inches³
b.
- v = 6 × 3 × 2 = 36 inches³
c.
- v = 4 × 5 × 4 = 80 inches³
d.
- v = 2 × 9 × 3 = 54 inches³
learn more on rectangular prism here: brainly.com/question/13512346
Answer:
76%
Step-by-step explanation:
do the amount of correct answers divided by the total of questions asked.
