My Crossword Maker Logo
Powered by BrightSprout
Save Status:
or to save your progress. The page will not refresh.
Controls:
SPACEBAR SWITCHES TYPING DIRECTION
Answer Key:
Edit a Copy:
Make Your Own:
Crossword Word Search Worksheet
Rate This Puzzle:
Log in or sign up to rate this puzzle.

Linear Algebra

Across
Of a matrix A, another matrix B such that A multiplied by B and B multiplied by A both equal the __ __
The scalar u^Tv, usually written as u.v , where u and v are vectors in R^n. also called the dot product
the dimension of the column space of A
Two or more vectors are said to be ___ __if none of them can be written as a linear combination of the others.
A transformation in which the new variables are linear functions of the old variables
The __ of a linear transformation T: V -> W is the set of x in V such that T(x) = 0
A set B of elements (vectors) in a vector space V is called a __
A scalar lambda such that Ax = lamba x has a solution for some nonzero vector x
a NONZERO vector x such that Ax = lamba x for some scalar lambda
a matrix that is the inverse of its transpose so that any two rows or any two columns are orthogonal vectors
The __ of a matrix is the set of its eigenvalues.
a set of vectors is ___ if it is an orthogonal set of unit vectors (all of the vectors dotted with each other vector is 0)
A __ of a vector space V is a subset H of V that has three properties
Down
An invertible matrix that results by performing one elementary row operation on an identity matrix
Polynomial equation of the first degree
A mapping T: R^n -> R^m is __ _ __ if each b in R^m is the image of at most one x in R^n.
The branch of mathematics that deals with vectors, vector spaces, linear transformations and systems of linear equations.
The set __ __A of all linear combinations of the vectors formed from the rows of A; also denoted by Col A ^T
The ___of a matrix A (of dimension m x n) is the n x m matrix whose columns are the corresponding rows of A
Is a means of representing three-dimensional objects in two dimensions
the linear __ __ of vectors in a vector space is the smallest linear subspace that contains the set
The __ __ of an m x n matrix A is the set of all linear combinations of the columns of A.
for a linear transformation T: R^n -> R^m, there exists a unique matrix A such that T(x) = Ax for all x in R^n.
A one-to-one linear mapping from one vector space onto another
The __ __ of an m x n matrix A is the set of all solutions to Ax = 0
A directed quantity, one with both magnitude and direction
A mapping T:R^n -> R^m is __ if each b in R^m is the image of at least one x in R^n.