Linear Algebra Terms

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Can you name the Linear Algebra Ultimate Review?

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

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