Vector Addition and Scalar Multiplication Quiz

Quiz from the University of Waterloo.

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