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Week
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Topics
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Study Metarials
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1
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Linear equation systems, solution methods of linear equation systems, representation of linear equation systems with matrices
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R1-Chapter 3, R2-Chapter 14
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2
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Basic matrix concepts, matrix types, transpose of matrices, mathematical operations on matrices
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R1-Chapter 6, R2-Chapter 8, R5-Chapter 9
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3
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Elementary row operations, inverse of matrices
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R3-Chapter 6, R4-Chapter 9, Chapter 10
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4
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Determinant calculation, minor and cofactor calculation, determinant properties
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R3-Chapter 6, R4-Chapter 11
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5
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Solution cases of linear equation systems, Gauss and Gauss Jordan elimination methods
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R1-Chapter 3, Chapter 4, R6-Chapter 3
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6
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Cramer method, Inverse matrix method, echelon and reduced echelon matrices
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R1-Chapter 3, Chapter 4, R6-Chapter 3
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7
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A = LU decomposition, homogeneous linear equation systems
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R1-Chapter 3, Chapter 4, R6-Chapter 3
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8
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Finding eigenvalues and eigenvectors in matrices, diagonalization, Cayley-Hamilton theorem
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R1-Chapter 5, R7-Chapter 8
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9
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Vectors, unit vector, unit base vectors, multiplication of vectors
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R4-Chapter 7
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10
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Perpendicularity and parallelism conditions of vectors, finding the angle between two vectors, finding the orthogonal projection vector
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R4-Chapter 7
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11
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Finding triangle area in plane, finding triangle area in space, finding parallel edge area in space
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R4-Chapter 7
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12
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Vector space, subspace, linear combination, linear dependence and linear independence,
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R4-Chapter 7
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13
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Elongation, base, size
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R4-Chapter 7
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14
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Linear transformation matrix, linear transformation kernel, linear transformation image, linear transformation space and rank
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R4-Chapter 7
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