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February 01, 2017

Matrix & Systems of Linear Equations :: Engineering Mathematics

 SharmaGS     Mathematics (Engg.)   

Download the notes from below link (in PDF File)

Matrix and Systems of Linear Equations

This notes consists two topics of Engineering Mathematics.. These are Matrix and Linear Equations.The subtopics included in it are as follows:

Matrix

1.Transpose of a Matrix
     a) Symmetric Matrix
     b) Skew- Symmetric Matrix
     c) Orthogonal Matrix
2. Conjugate
3. Tranjugate
     a) Hermitian Matrix
     b) Skew-Hermitian Matrix
     c) Unitary Matrix
4. Determinant Value of Square Matrix
5. Properties of Determinant
6. Cofactor Matrix
7. Rank of a Matrix
8. Echelon Form

Systems of Linear Equations.
 1. Homogeneous Systems
     a) Trivial Solutions
     b) Non-Trivial Solutions
2. Non-Homogeneous Solutions
     a) Inconsistent
     b) Consistent
3. Eigen Value
4. Properties of Eigen Values
5. Cayley Hamitton Theorem


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Download the notes from below link (in PDF File)

Matrix and Systems of Linear Equations


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