1.3 Vectors Flashcards

1
Q

The solution as a matrix with a single column

A

vectors

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2
Q

A vector is a _______ matrix

A

n x 1

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3
Q

Where x1, x2, … , xn belongs to R are called the ______ of the vector

A

components

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4
Q

The set of all n x 1 vectors is called ____

A

Rn

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5
Q

The set of vectors are _______ under addition and scalar multplications

A

closed

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6
Q

Linear combination

A

a linear combination of vectors is a vector of the form

c1v1 + c2v2 + … + ckvk

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7
Q

in c1v1 + c2v2 + .. + ckvk the c values are known as ____

A

weights

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8
Q

The ____ of these vectors are the set of all linear combinations of v1 v2

A

span

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9
Q

Vector equation

A

an equation of the form:

c1v1 + c2v2 + … + ckvk = b

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