Just For Fun Quiz / Linear Algebra Terms

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Can you name the Linear Algebra Ultimate Review?

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QuestionAnswer
the square root of (u1)^2+...+ (uk)^k
choosing a point in a matrix, turning it into a one, then annihilating entries above and below it
first nonzero entry in every row is one and below each one are zeroes
system of linear equations with one or more solutions
when one non-zero vector is a scalar multiple of another, these vectors are:
a basic solution to a linear program in which all variables are nonnegative
when a linear system has an infinite number of solutions it has:
2-parameter solution =
If every vector is a unit vector and the vectors are mutually orthogonal then the vectors are
x vector =(x1,x2,...,xn) = Po vector + t times the v vector
the set of all linear combinations of a set of vectors
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
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)
method used to find the determinant and/or inverse of a 3x3 matrix or larger
A vector space W that is part of a larger vector space V
If given any demand there is a production schedule that meets that demand
Vector Sn = T^n times vector So
vector of length one
when you multiply this with a matrix it is like multiplying by one
3-or more-parameter solution =
A system is consistent if and only if the row rank of the coefficient matrix equals the row rank of the augmented matrix
QuestionAnswer
A basis that is also an orthonormal set
the number of vectors in a basis for a vector space
If det(A) does not equal 0 then A is
vector x = vector Po + t times vector v1 + s times vector v2
0-parameter solution =
1-parameter solution =
vector v = c1v1+c2v2+...+ckvk for some scalars c1,c2...ck
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
a matrix that represents the cost per dollar to run several companies/industries in an economy
above and below leading ones are zeroes
linear system that does not have any solutions
If AB = I and BA = I then B is the _______ of A.
If a set of vectors spans the vector space V and the set is linearly independent it is a
an extra variable that's added to an inequality to make the constraint an equality
the number of non-zero rows the matrix has after it has been put in ref
vector u times vector v = u1v1+...+unvn
the distance between vector u and the projection of vector u onto vector v
when vector u times vector v = 0, U and v vectors are:
Problem of maximizing or minimizing a linear function over a set of constraints
using row operations to put a matrix into ref
A^t (switching a matrix's rows and columns)

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