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2017 Linear Algebra

This class was created by Brainscape user Elegant Angel. Visit their profile to learn more about the creator.

By: Elegant Angel
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Decks in this class (19)

Vector Geometry (review)
What is a set,
Define the aspects of objects log...,
What does the set notation of a p...
20  cards
Lines and Planes (review)
Is the vector parametric construc...,
Describe a vector parametric cons...,
Describe parametric form
13  cards
Solving Systems of Linear Equations
What is the central core of linea...,
Define a linear system,
What is the goal of linear algebra
23  cards
Applications and Examples of Solving Linear Systems
Define the rank of a matrix,
What are two facts about the rank...,
Suppose we row reduce ab to rref ...
8  cards
Matrix Multiplication
What is the compatibility rule,
Define matrix multiplication,
What are the 4 properties of matr...
11  cards
Vector Spaces and Subspaces
What is the main goal of vector s...,
What is a vector space,
What are the 10 properties of vec...
14  cards
Span of Vectors in a Vector Space
Describe the 5 important vector s...,
What is the goal of span of vecto...,
Demonstrate how to find the span ...
12  cards
Linear Dependence and Independence
Define linear dependence,
What does it mean for a set to be...,
Define linear independence
5  cards
Linear Independence and Spanning Sets
What is a fact about ld and li an...,
What is a fact about reducing ld ...,
What is a fact about enlarging li...
6  cards
Basis and Dimension
Explain why li sets are never big...,
Give the definition of a basis,
What is a fact about bases
8  cards
Vector Spaces Associated to Matrices
Define column space,
Define row space,
What is another term for nullspace
12  cards
Finding Bases for subspaces of n-space
Explain why row space is invarian...,
What do we have to do in the foll...,
What is a fact about bases of row...
8  cards
Bases and Matrix Inverses
Every consistent system has a uni...,
Every system is consistent,
Theorem 1suppose a is a n x n squ...
15  cards
Orthogonality, Orthogonal Projections and the Gram-Schmidt Algorithm
Define orthogonality of sets,
What is a fact about orthogonalit...,
What are general facts about orth...
10  cards
Complex Numbers
List the hierarchy of number systems,
Define a complex number,
Define the set of complex numbers
15  cards
Determinants
Suppose a is an nxn matrix what i...,
Suppose a is an nxn matrix what i...,
Suppose a is an nxn matrix what i...
14  cards
Eigenvalues and Eigenvectors of Matrices
0  cards
Diagonalization
0  cards
Linear transformations
0  cards

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2017 Linear Algebra

  • Class purpose General learning

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