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Maths.Engineering Platform Walkthrough
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Maths.Engineering Platform Walkthrough
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1. Matrix Introduction
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1.1 Introduction
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1.2 Types of matrix
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1.3 Types of matrix
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1.4 Types of matrix
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1.5 Application of matrices
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1.6 Matrix Introduction
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1.7 Matrix Addition
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1.8 Matrix Multiplication
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1.9 Determinant of Matrix
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1.10 Inverse of a Matrix
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2. Characteristic Equation
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2.1 Introduction
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2.2 Solved problem 1
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2.3 Solved problem 2
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2.4 Solved problem 3
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2.5 Solved problem 4
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2.6 Exercises
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3. Eigen Values and Eigen Vectors of a Matrix
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3.1 Introduction
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3.2 Eigen vectors
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3.3 Solved problem 1
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3.4 Solved problem 2
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3.5 Solved problem 3
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3.6 Solved problem 4
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3.7 Solved problem 5
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3.8 Solved problem 6
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3.9 Solved problem 7
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3.10 Solved problem 8
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3.11 Solved problem 9
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3.12 Solved problem 10
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3.13 Solved problem 11
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3.14 Exercises
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4. Properties of Eigen Values and Eigen Vectors
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4.1 Introduction
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4.2 Properties of Eigen values
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4.3 Properties of Eigen vectors
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4.4 Solved problem 1
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4.5 Solved problem 2
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4.6 Solved problem 3
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4.7 Solved problem 4
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4.8 Solved problem 5
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4.9 Solved problem 6
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4.10 Solved problem 7
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4.11 Solved problem 8
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4.12 Solved problem 9
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4.13 Solved problem 10
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4.14 Solved problem 11
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4.15 Solved problem 12
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4.16 Solved problem 13
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4.17 Solved problem 14
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4.18 Exercises
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5. Cayley - Hamilton Theorem
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5.1 Introduction
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5.2 Solved problem 1
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5.3 Solved problem 2
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5.4 Solved problem 3
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5.5 Solved problem 4
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5.6 Solved problem 5
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5.7 Solved problem 6
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5.8 Solved problem 7
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5.9 Solved problem 8
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5.10 Solved problem 9
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5.11 Solved problem 10
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5.12 Exercises
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6. Diagonalisation of Matrix (Similarity Transformation)
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6.1 Introduction
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6.2 Modal and spectral matrices
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6.3 Solved problem 1
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6.4 Solved Problem 2
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6.5 Solved problem 3
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6.6 Solved problem 4
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6.7 Solved problem 5
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6.8 Exercises
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7. Diagonalisation of Matrix (Orthogonal Transformation)
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7.1 Introduction
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7.2 Solved problem 1
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7.3 Solved problem 2
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7.4 Solved problem 3
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7.5 Exercises
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8. Reduction of Quadratic Form to Canonical Form
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8.1 Introduction
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8.2 Fundamental theorem on Quadratic forms
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8.3 Index and Signature of the real Quadratic forms
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8.4 Nature of the Quadratic forms
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8.5 Solved problem 1
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8.6 Solved problem 2
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8.7 Solved problem 3
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8.8 Solved problem 4
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8.9 Solved problem 5
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8.10 Solved problem 6
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8.11 Exercises
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9. Stretching of an Elastic Membrance
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9.1 Introduction
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9.2 Solved problem 1
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9.3 Solved problem 2
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9.4 Solved problem 3
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9.5 Exercises
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10. Free vibration of a two mass system
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10.1 Introduction
Preview - Eigen Values and Eigen Vectors
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