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JulsSmile [24]
3 years ago
5

Let T be a linear transformation from a vector space V with dimension 11 onto a vector space W with dimension 7. What is the dim

ension of the nullspace of T?
Physics
1 answer:
erica [24]3 years ago
8 0

Answer:

The dimension of the nullspace of T = 4

Explanation:

The rank/dimension theorem is explains that:

Suppose V and W are vector spaces over F, and T:V → W is linear. If V is finite dimensional, then

nullity(T) + rank(T) = dim(V).

rank(T) = dimension of T = dim(T) = dim(W) = 7

nullity(T) = dimension of the nullspace of T = dim(T) = ?

dim(V) = 11

nullity(T) = dim(V) - dim(T) = 11 - 7

nullity(T) = 4.

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Eric drops a 2.20 kg water balloon that falls a distance of 45.08 m off the top of a
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Answer:

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A car’s tire rotates 5.25 times in 3 seconds. What is the tangential velocity of the tire?
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The tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire which is 11(r) m/s.

<h3>Angular velocity of the tire</h3>

The angular velocity of the tire is the rate of change of angular displacement of the tire with time.

The magnitude of the angular velocity of the tire is calculated as follows;

ω = 2πN

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ω = 2π x (5.25 / 3)

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<h3>Tangential velocity of the tire</h3>

The tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire.

The magnitude of the tangential velocity is caculated as follows;

v = ωr

where;

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v = 11r m/s

Learn more about tangential velocity here: brainly.com/question/25780931

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