Just For Fun / Linear Algebra Terms

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Can you name the Linear Algebra Ultimate Review?

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

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