1
Q
linearly independent
A
a set of vectors {v1…vp} is linearly independent if the vector equation x1v1+…+xpvp=0 only has the trivial solution
2
Q
linearly dependent
A
if the vector equation x1v1+…+xpvp=0 has a nontrivial solution
Linear Algebra
flashcards
Decks in class (14)
# Cards
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1.1 Systems of Linear Equations12
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1.2 Row Reduction and Echelon Form14
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1.3 Vector Equations7
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1.4 The Matrix Equation Ax=b4
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1.5 Solution Sets of Linear Systems5
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1.7 Linear Independence2
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1.8 Introduction to Linear Transformations8
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1.9 The Matrix of a Linear Transformation3
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2.1 Matrix Operations5
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2.2 The Inverse of a Matrix4
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2.3 Characterizations of Invertible Matrices2
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2.5 Matrix Factorization (LU)0
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Prelim 2 (2.3-5.5)39
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Vocab61
