Just For Fun Quiz / Linear Algebra Terms

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Can you name the Linear Algebra Ultimate Review?

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

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