Linear Algebra Terms

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Can you name the Linear Algebra Ultimate Review?

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the number of vectors in a basis for a vector space
when vector u times vector v = 0, U and v vectors are:
A vector space W that is part of a larger vector space V
when a linear system has an infinite number of solutions it has:
a matrix where all entries are non-negative and every column sums to one
1-parameter solution =
If det(A) does not equal 0 then A is
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
the square root of (u1)^2+...+ (uk)^k
using row operations to put a matrix into ref
system of linear equations with one or more solutions
2-parameter solution =
when one non-zero vector is a scalar multiple of another, these vectors are:
vector starting at the origin and ending at a point
an extra variable that's added to an inequality to make the constraint an equality
A^t (switching a matrix's rows and columns)
the set of all linear combinations of a set of vectors
when you multiply this with a matrix it is like multiplying by one
Problem of maximizing or minimizing a linear function over a set of constraints
linear system that does not have any solutions
0-parameter solution =
system where all constraints are 0 (when every equation in the system equals 0)
QuestionAnswer
the distance between vector u and the projection of vector u onto vector v
vector u times vector v = u1v1+...+unvn
A basis that is also an orthonormal set
When no vector in S is a linear combination of the other vectors
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
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
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
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
the number of non-zero rows the matrix has after it has been put in ref
vector of length one
method used to find the determinant and/or inverse of a 3x3 matrix or larger
x vector =(x1,x2,...,xn) = Po vector + t times the v vector
vector v = c1v1+c2v2+...+ckvk for some scalars c1,c2...ck
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
Vector Sn = T^n times vector So
If a set of vectors spans the vector space V and the set is linearly independent it is a
a matrix that represents the cost per dollar to run several companies/industries in an economy

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