There are many topics covered in the algebra matrix. Some Of them are as follows -

• Euclidean vector spaces.
  
• Matrix inverses and determinants.
• Solving systems of equations with matrices .
• Eigenvalues and eigenvectors.
• Mathematical operations with matrices (addition, multiplication )
• Orthogonal matrices .
• Positive definite matrices .
• Linear transformations.

Check the below link to get more information about the same -

https://learn.careers360.com/maths/matrices-and-determinants-chapter/

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