Linear Algebra VS Basics

Question 1

Which is FALSE about a linearly INDEPENDENT set S?

Accepted Answer

The equation 0 = c1*v1 + c2*v2 + ... +cn*vn has only the trivial solution

Question 2

A set S spans a vector space V if every vector in V can be written as a linear combination of each vector in S

Accepted Answer

True

Question 3

A subspace of Rn must contain the zero vector

Accepted Answer

True

Question 4

A set S is LIN DEPENDENT if and only if at least one vector in S can be written as a linear combination of the others

Accepted Answer

True

Question 5

Which set of vectors spans a line in R3?

Accepted Answer

{(2, 4, 5), (6, 12, 15), (-1, -2, -2.5)}

Question 6

The set of all 2x2 matrices whose diagonal entries are nonnegative is a vector space

Accepted Answer

False

Question 7

What is the dimension of P_7?

Accepted Answer

8

Question 8

Which student drives Mr. Greenberg crazy the most?

Accepted Answer

All of the above, The Kid, Chalupe, String Bean

Question 9

Which is NOT one of the 10 Vector Space axioms?

Accepted Answer

Every element has a unique multiplicative inverse

Questions 9