20-06-2024 21:09
Status :
Tags : mathematics algebra linear algebra Differential Equations
Linear Equations
Prerequisites
Matrix
- Determinants
Refer the note in the file above.
- Minors and Cofactors
Refer the note in the file above.
- Adjoint of a square Matrix
Refer the note in the files above.
- Inverse of a matrix
Refer the note in the files above.
- Elementary Transformation
Refer the note in the file above.
- System of linear equations in matrix
Refer the note in the file above.
- Augmented Matrix
Refer the note in the file above
- Consistency in equations
Refer the note in the file above
Main Content
- Row echelon form
Row echelon forms
- Rank of matrix
Rank of matrix is given by the number of non zero rows in row echelon form
- Vector Spaces
The vector space is a special collection
- Subspace of Vector Space
Subspace
- Linear Span of a set
Linear Span
References
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