Matrices and Linear Algebra flashcards
74 flashcard decks by 61 users · Page 1 of 2
This GoConqr page gathers over 50 Matrices and Linear Algebra flashcards, from matrix operations and transformations to vector spaces and eigenvalues. They give university students and professional candidates, school students, and teachers material for practising these topics at university and secondary level. Pick a deck and start reviewing.
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- History of Matrices and Linear Algebra5
- Matrix Operations and Properties19
- Systems of Linear Equations11
- Row Reduction and Matrix Rank7
- Determinants14
- Inverse Matrices8
- Vector Spaces and Subspaces32
- Inner Product Spaces8
- Linear Transformations22
- Geometric Transformations7
- Eigenvalues and Eigenvectors11
- Matrix Decompositions and Canonical Forms6
Flashcards
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23 cardsMatrix Transformation (2D) In a 2x2 matrix, what tells you where (1,0) is mapped to?
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28 cardsMatrices - Gauss-Jordan Elimination - Matrices and Matrix Operations - The Determinant of a Matrix - Scalar Multipli...
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38 cardsMATRIX FUNDAMENTALS what are the eigenvalues of a diagonal matrix?
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34 cardsLinear Algebra T1 what's a set?
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14 cardsCh. 5: Eigenvalues and Eigenvectors Define: Eigenvector, Eigenvalue
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17 cardsInvariation In terms of x and y, what represents a transformed set of points?
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10 cardsUntitled What are the two Axioms for a Linear Transformation?
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26 cardsGRE Study Linear Algebra Number of Solutions to a Linear System
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21 cardsCanonical Forms Shur decomposition of A
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31 cardsMATH 307 Ch 1, 2.1, 2.2 linear system of equations
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68 cardsMat 223 midterm prep Definition 1.6 (augmented/coefficient matrices)
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30 cardsBasics
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24 cardsLinear Algebra Test 1 Homogeneous System of Equations
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11 cardsvector spaces
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19 cardsBasics of Matrices Define a matrix
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9 cardsFP1 notes Matrices - numbers in cells are elements. Order of matrix is rows x columns
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26 cardsA0 Define a dual basis
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15 cardsBasic definitions Definition: Eigenvector Eigenvalue Eigenpair
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16 cardsMatrices 2x2 identity matrix
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8 cardsLinear Algebra and Matrices What three operations can any linear transformation be decomposed into?
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11 cardsLin Al A linear equation in n unknowns is an equation of the form
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14 cardsInverse Matrices What the determinant of a singular matrix?
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18 cardsMatrix Algebra - AQA FP4 How do you state the order of a matrix?
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4 cardslinear algebra definitions linear subspace of a vector field
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24 cardsCh. 4: Vector Spaces Define: vector space
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24 cardsMATH 307 Ch 2.3 - 3.2
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10 cardsmatrices what is a matrix
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18 cardsMatrix Algebra - AQA FP4 How do you state the order of a matrix?
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9 cardsRotations and Reflection An AC rotation about the origin is given by....
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11 cards3D Matrix Transforation In [abc][def][ghi] what are the images of I, J and K?
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37 cardsLin Alg Axiom of Additive Closure
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10 cardsMatrices: Inverse & Determinants Existence of the inverse
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8 cardsSystems of Linear Equations No. equations = no. unknowns
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10 cardsFP4 matrix transformations and algebra Transpose of a matrix
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24 cardsMath 520 Midterm Definitions + Examples Vector Space Over F (V denotes a vector space over F) Definition
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6 cardsLinear Algebra 4 theoremes a Day Each Matrix is row equivalent...
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21 cardsmath4 definition: linearly independent
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1 cardsTime Varying System Questions 1.Linear Algebra 1 Explain the QR decomposition of a matrix and how many versions thereof do you know?
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10 cardsLinear Transformations Linear transformation of matrices
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12 cardsMatrix Transformations Reflection in x-axis
More Matrices and Linear Algebra resources
About matrices and linear algebra flashcards
GoConqr OriginalChoosing matrices and linear algebra flashcards
Start with Basics of Matrices if you want to review the foundations. For questions on matrix order, addition and multiplication, try Matrix Algebra - AQA FP4. Its cards also ask about the non-commutativity of multiplication.
For transformations, Matrix Transformation (2D) asks where a matrix sends the points (1,0) and (0,1). Other decks cover inverse matrices, systems of linear equations and linear transformations. There are also cards on vector spaces, eigenvalues and eigenvectors.
Review with cards
Choose a deck that matches the topic you are studying. Read each prompt, recall your answer and return to cards you find difficult. You could use the definitions in the linear algebra deck to review terms such as span and linear map.
If you want to see connections between topics, switch to a mind map on the unit page. For question practice, try a quiz there. Choose a deck to begin your review.
Frequently asked questions
Which flashcards should I start with?
Try Basics of Matrices for a review of the foundations. If you are already working on matrix operations, Matrix Algebra - AQA FP4 has prompts on order, addition and multiplication. For transformations, Matrix Transformation (2D) asks where a matrix sends particular points.
What do the flashcards cover beyond matrix operations?
The decks include transformations, inverse matrices and systems of linear equations. You can also find cards on linear maps, span and subspaces, as well as vector spaces, eigenvalues and eigenvectors. Linear Algebra Test 1 includes terms such as row equivalence and free variables.
Are these flashcards free to use?
Yes. Every resource listed here is free to open and study without an account. A free account also lets you save quiz scores and make your own quizzes, mind maps, flashcards and notes. The resources on this page were made by GoConqr users.
Which levels do these flashcards suit?
The page includes resources at secondary and university level. University students and professional candidates can review topics such as linear systems and vector spaces, while school students can find decks on matrix algebra and transformations. Teachers can use the listed material for those topics too.