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Linear Algebra Concepts Quiz

The document defines key terms related to linear algebra including: 1. The set of all possible vectors reached from a linear combination of two vectors is called the span. 2. Unit vectors point in the (x,y,z) axes and have a length of 1. 3. The basis of a vector space is a set of linearly independent vectors that span the entire space.

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Mahesh VP
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11K views9 pages

Linear Algebra Concepts Quiz

The document defines key terms related to linear algebra including: 1. The set of all possible vectors reached from a linear combination of two vectors is called the span. 2. Unit vectors point in the (x,y,z) axes and have a length of 1. 3. The basis of a vector space is a set of linearly independent vectors that span the entire space.

Uploaded by

Mahesh VP
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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The set of all possible vectors you can reach with the linear combination of

two vectors is called ____________________ linear combination

________________ vectors are vectors of length 1 pointing in each of the


(x,y,z) axes respectively. Unit basis

Every vector in 2D space is associated with multiple pairs of number false

Consider the following 2 X 2 square matrices A, B and C. (A+B) + C = A +


(B + C) signifies which property ? associativity

The _____________ of a vector space is a set of linearly independent


vectors that span the entire space. Basis

If one set of vectors can be expressed as a linear combination of other set


of vectors , they are called _____________________ linearly dependent
___________________________ is the span of the columns of your
matrix. Column space

_________________ is the number of dimensions in the output of a


Transformation . rank
In a linear transform when the orientation of space is inverted the
determinant value is negative . true

Consider two square matrices A and B with dimension m X m. AB = BA


false
Final:

1.

2.In a linear transform when the orientation of space is inverted the


determinant value is negative . true
3.

4.
5.

6.

7. Consider two square matrices A and B with dimension m X m. AB = BA


false
8. The _____________ of a vector space is a set of linearly independent
vectors that span the entire space. Basis

9. Consider the following 2 X 2 square matrices A , B and C. (A+B) + C = A


+ (B + C) signifies which property ? Associativity

10. The set of all possible vectors you can reach with the linear
combination of two vectors is called ____________________

Linear combination

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