Learning Outcomes	1-Makes Matrix and Determinant operations. 2-Solves linear equation systems using Gaussian method. 3-Calculates the basic operations of vector algebras. 4-Finds eigenvalues and eigenvectors of a square matrix using characteristic polynomials. 5-Calculates the inverse of a square matrix using the Cayley-Hamilton theorem.

Prerequisites	-
Language of Instruction	Turkish
Responsible	Asst. Prof. Dr. Hüseyin GÖKÇE
Instructors	-
Assistants	-
Resources	R1-Tapramaz, R. (2005). Sayısal çözümleme. Literatür Yayınları:76, İstanbul. R2-Bakioğlu, M. (2011). Sayısal analiz. Birsen Yayınevi, İstanbul. R3-Çağal, B. (1989). Sayısal analiz. Birsen Yayınevi, İstanbul. R4-Hacısalihoğlu, H.H. (2005). Temel ve genel matematik Cilt: 2. (5. Baskı). Ertem Matbaacılık, Ankara. R5-Süli, E. & Mayers, D. (2008). An introduction to numerical analysis. Cambridge University Press, New York. R6-Karagöz, İ. (2014). Sayısal analiz ve mühendislik uygulamaları. (4. Baskı). Nobel Akademik Yayıncılık, Ankara. R7-Bayram, M. (2009). Nümerik analiz. Birsen Yayınevi, İstanbul.
Supplementary Book	AR1-Uzun, İ. (2004). Mühendis nümerik çözüm yöntemleri. (3. Baskı). Beta Yayıncılık, İstanbul. AR2-Amirali G. & Duru, H. (2002) Nümerik analiz. Pegem Yayıncılık, Ankara. AR3-Bakioğlu, M., Kadıoğlu, F., Barlas, B. & Yanık, A. (2011). Sayısal analiz problemleri, Birsen Yayınevi. İstanbul.
Goals	Create the necessary information for more advanced mathematics topics.
Content	Matrices: Definition of matrix, Types of matrices, matrix equality, Sum and difference of matrices, The product of scaler and matrix and their properties , Transpose of matrix and its properties - Some Special Matrices and Matrix Applications - Elementary row and column operations in matrices, Reduced rows echelon form, Rank of a matrix, The inverse of a square matrix, - Determinants: The determinant of a square matrix, Laplace`s expansion, Properties of determinants -Sarrus rule, Additional matrix, Calculation of the inverse of a matrix with the aid of additional matrix - Systems of Linear Equations: Solving systems of linear equations with the aid of equivalent matrices, Linear homogeneous equations, -Cramer`s method, The solution with the help of coefficients matrix -Vectors: Vector definition, the sum of vectors, the difference, the analytical expression vectors, scalar product of vectors, properties of the scalar multiplication Scalar product and its features, the mixed multiplication and properties, and properties of double vector product, -Vector spaces: Definition of vector spaces and theorems. Subspaces. Span concept and fundamental theorems. Linear dependence and linear independence of vectors and some theorems about linear dependence and linear independence. -Bases and dimension concepts and fundamental theorems. Definition of coordinates and transition matrices and some theorems. -Eigenvalues and Eigenvectors: The Calculation of Eigenvalues and Eigenvectors of a square matrix, - The calculation of Inverse and power of a square matrix with the help of the Cayley-Hamilton theorem.