Quiz from the University of Waterloo.

- Created On
- October 23rd, 2013
- 8 years ago
- Views
- 4
- Type
- Unknown
- Timeframe
- Perspective
- Language
- English
- Content Type
- text/html;charset=UTF-8

##### Definition of vector-scalar multiplication, coordinate vector space math.la.d.vec.scalar.mult.coord

##### Definition of vector sum/addition, coordinate vector space math.la.d.vec.sum.coord

##### Example of vector-scalar multiplication in R^2 math.la.e.vec.scalar.mult.r2

##### Example of linear combination of vectors in R^2 math.la.e.vec.lincomb.r2

##### A linear system is equivalent to a vector equation. math.la.t.linsys.vec

##### Determine if a particular vector is in the span of a set of vectors in R^3 math.la.e.vec.span.of.r3

##### Definition of linearly independent set of vectors: if a linear combination is zero, then every coefficient is zero, coordinate vector space. math.la.d.vec.linindep.coord

##### Determine if a particular set of vectors in R^3 in linearly independent math.la.e.vec.linindep.r3

##### Definition of linear dependence relation math.la.d.vec.lindep.relation

##### A set of two vectors is linearly dependent if and only if neither is a scalar multiple of the other. math.la.t.vec.lindep.two

##### Theorem: a set of vectors is linearly dependent if and only if one of the vectors can be written as a linear combination of the other vectors, coordinate vector space. math.la.t.vec.lindep.coord

This is a quiz. It is assumed that the students have learned the material.