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\begin{document}
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  \huge{The Department of Mathematics}\\[0.1\baselineskip]
  \Large{2021--22--A term}\\[0.2\baselineskip]

\end{center}

\begin{description}
  \item[Course Name]
    Linear Algebra for Biotechnology

  \item[Course Number]
    \LRE{201‭.1‭.9551}

  \item[Course web page]\mbox{}\\
    \url{https://math.bgu.ac.il//en/teaching/fall2022/courses/linear-algebra-for-biotechnology}

  \item[Lecturer]
    Dr. Natalia Gulko,
    \nolinkurl{<gulko@post.bgu.ac.il>},
    Office מינוס 108

\item[Office Hours]
  \url{https://math.bgu.ac.il/en/teaching/hours}
\end{description}

\section*{Abstract}




\section*{Requirements and grading\footnote{Information may change during the first two weeks of the term. Please consult the webpage for updates}}






\section*{Course topics}

Complex numbers.Systems of linear equations. Solving linear systems: row reduction and echelon forms. Homogenous and inhomogenous systems.Rank of matrix.Vector spaces. Linearly independent and linearly dependent sets of vectors.  Linear combinations of vectors.Inner (dot) product, length, and orthogonality. The Gram - Schmidt process.Matrices:  vector space of matrices, linear matrix operations, matrix multiplication, inverse matrix.  An algorithm for finding inverse matrix by means of elementary row operations.Rank of matrix and its invertibility.  Solving systems of linear equations by means of inverse matrix.Determinants. Condition detA=0 and its meaning. Tranposed matrix.Eigenvectors and eigenvalues. The characteristic polynomial and characteristic equation.  Finding of eigenvectors and eigenvalues.Diagonalization and diagonalizable matrices. Symmetric matrices.

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