LECTURE 1: REVIEW OF LINEAR SYSTEMS
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LECTURE 2: MATRICES AND ITS PROPERTIES
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LECTURE 3: PROPERTIES OF MATRIX OPERATIONS
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LECTURE 4: MATRIX REPRESENTATION OF LINEAR SYSTEMS
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LECTURE 5 : THE REDUCED ROW ECHELON FORM OF A MATRIX
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LECTURE 6: GAUSSIAN ELIMINATION AND GAUSS-JORDAN REDUCTION METHOD
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LECTURE 7 : THE INVERSE OF A MATRIX
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LECTURE 8 : DETERMINANTS
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LECTURE 9 : VECTOR SPACES
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LECTURE 10 : SPAN AND LINEAR INDEPENDENCE
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LECTURE 11 : BASIS AND DIMENSION
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LECTURE 12 : ORTHONORMAL BASES
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LECTURE 13 : LINEAR TRANSFORMATIONS
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LECTURE 14 : MATRIX OF A LINEAR TRANSFORMATION
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LECTURE 15 : EIGENVALUES AND EIGENSPACES
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LECTURE 16 : DIAGONALIZATION OF MATRICES
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LECTURE 17 : ORTHOGONAL DIAGONALIZATION OF SYMMETRIC MATRICES
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APPLICATIONS OF DETERMINANTS
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