.ch1.4 Subspaces of Rn
دروس
- ch1 matrix and system of linear equation Ex1
- ch1 matrix and system of linear equation Ex2,3,4
- ch1.2 (Gauss-Jordan Elimination --> echelon form, solution of matrix)
- ch1.2 (Gauss-Jordan Elimination)
- ch1.2 (Gauss-Jordan Elimination --> Homogeneous Systems)
- ch1.3 The Vector Space Rn
- ch1.3 Vector spaces of Rn part 2
- .ch1.4 Subspaces of Rn
- .ch1.4 Subspaces of Rn part2
- ch1.5 Basis in Rn
- ch1.5 Dimension in Rn
- ch1.6 Dot Product, Norm, Angle, and Distance
- ch1.6 Dot Product, Norm, Angle, and Distance part2
- ch1.3 Exercise of the vector space
- ch2.1 Addition, Scalar Multiplication, and Multiplication of Matrices
- (Special Matrices)ch2.1 Addition, Scalar Multiplication, and Multiplication of Matrices
- (Partitioning of Matrices)ch2.1 Addition, Scalar Multiplication, and Multiplication of Matrices
- ch2.2 Properties of Matrix Operations
- ch2.2 Properties of Matrix Operations part2
- ch2.3 Symmetric Matrices
- ch2.4 The Inverse of a Matrix
- ch2.6 Linear transformation
- ch3.1 Introduction to Determinants
- ch3.2 Properties of Determinants
- ch3.3 the adjoin of matrix and Cramer's Rule
- ch3.4 eigenvalues and eigen vector
- ch4.2 Linear Combinations of Vectors and span
- ch4.3 Linear Independence of Vectors
- ch4.4 Basis
- ch4.5 Rank part 1
- ch4.5 Rank part 2
- ch4.6 projection
- ch4.6 gram-Schmidt process and QR factorization
- ch4.7 orthogonal complement
- ch4.8 prove that is linear transformation
- ch4.8 kernel, range rank and nullity theorem
- ch4.9 one to one transformation and invertible transformation
- ch4.10 transformation and system of linear equation
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