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