Karteikarten
Mat 223 midterm prep
Karten in diesem Stapel (68)
- 1Definition 1.6 (augmented/coefficient matrices)-
- 2Definition 1.9 (equivalent)
- 3Definition 1.13(pivot)
- 4Definition 1.22(pivot columns, basic variables, and free variables)
- 5Definition 1.25 (consistent and inconsistent systems)
- 6Theorem 1.26 (Rouché cappelli)
- 7Definition 2.10(linear combinations)
- 8Definition 2.11(spans)
- 9Definition 2.12(geometric definition of linear dependence and independence)
- 10Definition 2.13(algebraic definition of linear dependence and independence
- 11Activity 25 (geometric → algebraic)
- 12Definition 3.1(subspaces, vector spaces)
- 13Definition3.5 (generating/spanning set)
- 14Definition 3.6(basis)
- 15Theorem 3.4.
- 16Definition 3.9(dimension)
- 17Definition 4.1( column space + null space)
- 18Definition 4.3 (rank, nullity)
- 19Definition 4.6 (row space)
- 20Theorem 4.7
- 21Activity 4.4
- 22Theorem 4.10
- 23Definition 5.1( linear transformation)
- 24Definition 5.2 (matrix transformation (along with the notation T_ -A))
- 25Theorem 5.4
- 26Definition 5.5 (defining matrix (along with the notation A_F))
- 27Definition 5.6 (matrix product)
- 28Definition 5.10 (kernel + image)
- 29Definition 6.1(injective, surjective, and bijective functions)
- 30Definition 6.5 (isomorphism)
- 31Theorem 6.3
- 32Definition 6.12 (identity matrix)
- 33Definition 6.13(inverse matrix, geometric definition)
- 34Definition 6.14(inverse matrix, algebraic definition)
- 35Unit Square
- 36Determinant(2x2)
- 37Unit Cube
- 38Determinant (3x3)
- 39Minor
- 40Definition 7.14
- 41Corollary 7.21
- 42Eigenvector
- 43Proposition 8.2
- 44Eigenspace
- 45Proposition 8.4
- 46Geometric Multiplicity
- 47Characteristic Polynomial
- 48Definition 8.9
- 49B-coordinates
- 50Theorem 9.2
- 51Change of Basis matrix
- 52Theorem 9.8
- 53Defining Matrix of F with respect to Basis B
- 54Matrix similarity (geometric)
- 55Matrix Similarity (algebraic)
- 56Diagonal matrix
- 57Diagonalizable
- 58Eigendecomposition
- 59Dot Product
- 60Norm
- 61Distance
- 62Angle
- 63Orthonormal basis
- 64Proposition 11.10
- 65Q orthogonal
- 66Theorem 11.14
- 67Orthogonally Diagonalizable
- 68Singular values
Informationen
- Beschreibung
- Mathematics Karteikarten am Mat 223 midterm prep, erstellt von Marina Mondria munteis am 06/03/2025.
- Erstellt von
- Marina Mondria munteis
- Aufrufe
- 23
- Bewertung