2017-2018 Spring

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Çankaya University Regulations for Exams (in Turkish)

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Exercise Set 6  (Answers(not solutions))

Exercise Set 5  (Answers(not solutions))

Exercise Set 4  (Answers (not solutions))

Exercise Set 3  (Answers (not solutions))

Exercise Set 2  (Answers (not solutions))

Exercise Set 1 ( Answers (not solutions))

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Midterm1 Content: 

Systems of Linear Equations         
Matrices, Matrix Multiplication, Algebraic Properties of Matrix Operations
Echelon Form of a Matrix, Solving Linear Systems    
Elementary Matrices; Finding A-1      

Midterm2 Content: 

- Determinant: cofactor expansion, properties of determinant, adjoint method, Cramer's rule

-Real Vector Space: vector space, subspace, span, linear combination, linear independence, basis and dimension, solution space, homogeneous systems.

Final Content:

-Real Vector Spaces: vector space, subspace, span, linear combination, linear independence, basis and dimension, solution space, homogeneous systems, row/column space, row/column rank, nullity, coordinate vector and transition matrix.

-Inner Product Spaces:inner product space, properties, norm, distance, orthogonal and orthonormal bases, Gram-Schmidt Method.

-Linear Transformations and Matrices: linear transformation, kernel and range, rank and nullity, one-to-one and onto linear transformations, invertible lin. trans. , isomorphism.