Tf if v and w are finite dimension vector spaces of the same dimension, then v is isomorphic to w

If the vector spaces are defined on the same scalar field, then yes.

Let be a base of V and be a base of W.

We can build the function

We can extend T as one may imagine: every can be written as a linear combination of elements in E:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

10 - 75

step-by-step explanation:

there's nothing attached so it's most likely anything in that range.