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Linear Algebra Review

Authored by Rebecca Field

Mathematics

University

CCSS covered

Used 6+ times

Linear Algebra Review
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4 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Which of the following is false?

Vector spaces are sets with vector addition and scalar multiplication satisfying some rules

Vector addition is commutative

Addition of real numbers distributes to vector addition

In a vector space, we can multiply any two vectors

2.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Which of the following is false?

Bases for vector spaces exist

finite dimensional vector spaces have finite bases

A useful basis for a vector space may or may not exist

Bases for vector spaces are unique

3.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Which of the following is false?

A linear transformation is completely determined by its value on any basis

A linear transformation between vector spaces takes vector addition to vector addition

A linear transformation between two vector spaces takes vector addition to scalar multiplication

4.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Which of the following is false?

All linear transformations between finite dimensional vector spaces are equivalent to multiplication by a matrix

Composition of linear transformations is given by multiplying the two matrices using matrix multiplication

The inverse of a linear transformation is given by multiplying by the inverse matrix

Tags

CCSS.HSN.VM.C.10

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