True , false Transcribed Image Text: 1. Let A be a 3×4 matrix. If nullity(A) = 3, rank(A) = 4.

2. Let A be an n x n matrix. If the columns of A are

linearly independent, then det(A) = 1.

3. If V is a 7-dimensional vector space and S is a set of 10

vectors, then the elements of S must be linearly

dependent.

4. In a vector space V, if the vectors a, b, and c span V,

then the dimension of V must be equal to 3.

5. The set of polynomials in x of degree at most 5 form a

vector space.

6. S = {v1, V2, … , Vn} is a linearly independent set if the

only solution to cv1 + C2v2 + *…*

+ CnVn = 0 has only

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the trivial solution.

7. Every vector space has a finite basis.

8. The dimension of Mm,n is m + n.

9. The additive inverse of a vector is unique.

10. A set W is a subspace of vector space V if W passes the

vector space axioms under any operations of addition

and scalar multiplication.

## I toss a coin 1000 times and observe the outcome “heads” 481 times. Which of the following can be concluded from this result? A) This

I toss a coin 1000 times and observe the outcome “heads” 481 times. Which of the following can be concluded from this result? A) This