Linear Algebra Terms

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Can you name the Linear Algebra Ultimate Review?

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

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