Linear Algebra Review
Authored by Rebecca Field
Mathematics
University
CCSS covered
Used 6+ times
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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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