Linear Algebra Terms

Random Just For Fun Quiz

Can you name the Linear Algebra Ultimate Review?

Quiz not verified by Sporcle

 plays        
How to Play
QuestionAnswer
the distance between vector u and the projection of vector u onto vector v
the number of vectors in a basis for a vector space
system of linear equations with one or more solutions
If AB = I and BA = I then B is the _______ of A.
0-parameter solution =
vector u times vector v = u1v1+...+unvn
If every vector is a unit vector and the vectors are mutually orthogonal then the vectors are
a matrix where all entries are non-negative and every column sums to one
1-parameter solution =
when you multiply this with a matrix it is like multiplying by one
vector starting at the origin and ending at a point
a basic solution to a linear program in which all variables are nonnegative
If a set of vectors spans the vector space V and the set is linearly independent it is a
method used to find the determinant and/or inverse of a 3x3 matrix or larger
when it costs less then $1 in raw materials to make $1 worth of product
when vector u times vector v = 0, U and v vectors are:
A^t (switching a matrix's rows and columns)
Problem of maximizing or minimizing a linear function over a set of constraints
If det(A) does not equal 0 then A is
When vectors can be written as linear combinations of each other they are
vector v = c1v1+c2v2+...+ckvk for some scalars c1,c2...ck
A system is consistent if and only if the row rank of the coefficient matrix equals the row rank of the augmented matrix
the square root of (u1)^2+...+ (uk)^k
QuestionAnswer
the set of all linear combinations of a set of vectors
above and below leading ones are zeroes
an extra variable that's added to an inequality to make the constraint an equality
linear system that does not have any solutions
A basis that is also an orthonormal set
vector of length one
when a linear system has an infinite number of solutions it has:
using row operations to put a matrix into ref
vector x = vector Po + t times vector v1 + s times vector v2
first nonzero entry in every row is one and below each one are zeroes
A vector space W that is part of a larger vector space V
a matrix that represents the cost per dollar to run several companies/industries in an economy
If given any demand there is a production schedule that meets that demand
When no vector in S is a linear combination of the other vectors
when one non-zero vector is a scalar multiple of another, these vectors are:
2-parameter solution =
Vector Sn = T^n times vector So
x vector =(x1,x2,...,xn) = Po vector + t times the v vector
system where all constraints are 0 (when every equation in the system equals 0)
choosing a point in a matrix, turning it into a one, then annihilating entries above and below it
3-or more-parameter solution =
the number of non-zero rows the matrix has after it has been put in ref

Friend Scores


  Player Best Score Plays Last Played
You You haven't played this game yet.

You Might Also Like...

Extras

Created Dec 14, 2011ReportNominate
Tags:algebra, linear, review, ultimate