Linear algebra and geometry Course Materials & Test Answers | moodle.polito.it

Let , , be in

, that

is the vector space of polynomials in

having real coefficients and degree

less of equal than

. Consider the subspace . Find the right statement:

.

❌

.

✅

.

❌

.

❌

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Let us consider the vectors

,

and in

.

Find the right statement.

is a basis of .

❌

The subspace generated by has dimension .

❌

The subspace generated by has dimension .

❌

The vectors are linearly independent.

✅

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Let be the vector space

consider the subset such that

and let .

Find the correct statement.

.

❌

.

❌

.

❌

is not finitely generated.

✅

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Let be the vector space

consider the subset such that

and let .

Find the correct statement.

.

✅

.

❌

.

❌

is finitely generated.

❌

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Let and be vector subspaces of such that e .

Which one of the following statements is always true?

is exactly the null vector.

❌

.

❌

.

❌

.

✅

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Let and be vector subspaces of such that e .

Which one of the following statements is always true?

is exactly the null vector.

❌

.

❌

.

❌

.

✅

View this question

Let and be vector subspaces of such that e .

Which one of the following statements is always true?

is exactly the null vector.

❌

.

❌

.

❌

.

✅

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Let $V$ be the vector space

consider the subset such that

and let .

Find the correct statement.

.

❌

.

✅

.

❌

is not finitely generated.

❌

View this question

Let and be vector subspaces of such that e .

Which one of the following statements is always true?

.

❌

.

❌

.

❌

.

✅

View this question

Let be an endomorphism with characteristic polynomial .

Which one of the following statements is true?

.

❌

.

❌

.

❌

.

✅

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Linear algebra and geometry

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