Linear Combinations of Vectors

Linear Combinations of Vectors

12th Grade

20 Qs

quiz-placeholder

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Linear Combinations of Vectors

Linear Combinations of Vectors

Assessment

Quiz

Mathematics

12th Grade

Hard

Created by

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If a set of vectors V is closed under addition and scalar multiplication, what can you conclude about V?

V is a vector space

V is a subspace of a larger vector space.

V is not a set of vectors

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The zero vector is always a member of any subspace

True

False

I dont no

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If u is in the null space of matrix A, what happens when you multiply u by a scalar c?

cu becomes the zero vector

cu remains in the null space of A.

cu is no longer a solution to

The answer depends on the specific matrix A.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A

B

C

D

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given u = <3, 7> and v =<-5, 4>, find 2v - 3u

<21, 2>

<-19, -13>

<-15, 3>

23

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If y = <1, 1> and v = <6, 8>, what is 6y + 2v?

<38, 50>

<17, 30>

<18, 22>

16, 20>

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If g = <-1, 1>, y = <1, 1>, z = <-3, -3>, and v = <6, 8>, what is 4g + y + z - 5v?

<24, 42>

<-36, -38>

<36, 38>

<-30, -32>

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