Linear Algebra Terms

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Can you name the Linear Algebra Ultimate Review?

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