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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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Inner product spaces
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R1: Section 5.3
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2
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Properties of inner product spaces
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R1: Section 5.3
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3
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Gram-Schmidt Process
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R1: Section 5.4
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4
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Orthogonal Complements
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R1: Section 5.5
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5
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Definition and Examples of Linear Transformations
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R1: Section 6.1
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6
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Kernel of a linear transformation
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R1: Section 6.2
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7
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Range and rank of a linear transformation
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R1: Section 6.2
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8
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Matrix of a linear transformation
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R1: Section 6.3
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9
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Similarity
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R1:Section 6.5
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10
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Eigenvalues and Eigenvectors
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R1: Section 7.1
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11
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Cayley-Hamilton`s Theorem and Applications
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R1: Section 7.1
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12
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Diagonalization and Similar Matrices
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R1: Section 7.2
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13
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Diagonalization of Symmetric Matrices
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R1: Section 7.3
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14
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General Examples
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R2. Lecture notes
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