Linear Algebra Terms

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Can you name the Linear Algebra Ultimate Review?

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

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