Linear Algebra Terms

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Can you name the Linear Algebra Ultimate Review?

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

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