MATH 217 • Final • Lineer Cebir
İhsan Doğramacı Bilkent Üniversitesi MATH 241 (Engineering Mathematics I) Final sınavına hazırlık paketi.
İşlenen konular: Orthogonality, Orthogonal Complement and Basis, The Gram-Schmidt Process, Eigenvalues and Eigenvectors, Diagonalization of Matrices, Cayley Hamilton Theorem, Linear Homogeneous DEs with Constant Coefficients, Z-Transform, The Laplace Transform, Solving Differential Equations by Laplace Transform, Systems of First Order Linear Equations, Nonhomogeneous Systems.
Ayda 666 TL, peşin fiyatına 3 taksit
Eğitmenler
Dorukhan Özcan
Co-Founder & CEO
Unicourse şirketinin kurucu ortağıyım. 2016 senesinde Galatasaray Lisesinden mezun oldum. Geçtiğimiz dört sene içerisinde 2000 saatten fazla ders anlattım. Anlattığım dersler sırasıyla; Calculus, Çok değişkenli Calculus, Lineer Cebir, Differansiyel Denklemler, Uygulamalı İstatistik ve Stokastik Modelleme dersleridir. Doping Hafıza şirketinde 2017 - 2022 seneleri arasında CEO danışmanlığı yaptım. Koç Üniversitesi Endüstri Mühendisliği ve Ekonomi çift anadal programını tam burslu olarak, 3.96/4.00 not ortalamasıyla bitirdim. Kadıköy Modalıyım.
Tolga Temiz
Eğitmen
2016 senesinde başladığım Koç Üniversitesi Matematik bölümünden 2020 senesinde fakülte üçüncüsü olarak mezun oldum. Lisans ve yüksek lisans eğitimlerim boyunca çeşitli derslerde asistanlık yaptım. 2021'de Koç Üniversitesi'nde Matematik yüksek lisansına başladım ve 2023 yılında mezun oldum. Şimdi Michigan State Üniversitesi'nde doktora yapıyorum. Topoloji alanıyla ilgilenmekteyim.
Konular
Basis for Column, Null and Row Spaces
2 konu anlatımı · 3 soru
Null Space & Column Space & Row Space
Bases for Col A & Row A & Null A
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Inner Product Spaces
1 konu anlatımı · 3 soru
Inner Product Space
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Orthogonality, Orthogonal Complement and Basis
4 konu anlatımı · 4 soru
Key concepts for orthogonality
Orthogonal Complement
Orthagonal Complement 2
Orthogonal Sets and Basis
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
The Gram-Schmidt Process
2 konu anlatımı · 4 soru
The Gram-Schmidt Process 1
The Gram-Schmidt Process 2
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Angle Between Vectors for a Given Inner Product
Linear Transformation
6 konu anlatımı · 4 soru
Linear Transformations 1
Linear Transformation 2
Matrix of a Linear Transformation
Inverse of Linear Transformation 1
Inverse of Linear Transformation 2
Linearity of Transformations
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Kernel and Range of Transformations
7 konu anlatımı
Basis for Kernel and Range of a Transformation 1
Basis for Kernel and Range of a Transformation 2
Basis for Kernel and Range of a Transformation 3
Linear Independence of Matrices
Basis for Kernel and Range of a Transformation 4
Basis for Kernel and Range of a Transformation 5
Basis for Kernel and Range of a Transformation 6
Transformations and Change of Basis
3 konu anlatımı · 2 soru
Transformation Matrix Relative to Basis 1
Transformation Matrix Relative to Basis 2
Transformation Matrix Relative to Basis 3
Exam-like Question 1
Exam-like Question 2
Isomorphism
3 konu anlatımı · 2 soru
Isomorphism 1
Isomorphism 2
Isomorphism 3
Exam-like Question 1
Exam-like Question 2
Eigenvalues and Eigenvectors
7 konu anlatımı
Eigenvalues & Eigenvectors: 3 Vital Steps
Eigenvalues & Eigenvectors: A Special Tip
A Matrix with Irrational Eigenvalues
Algebraic and Geometric Multiplicities
Eigenspace of Matrices
Complex Eigenvalues
Complex Eigenvalues 2
Diagonalization of Matrices
2 konu anlatımı · 4 soru
Diagonalization 1
Diagonalization 2
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
General Review Problems
38 soru
Null & Column & Row Spaces
Null & Column & Row Spaces 2
Null & Column & Row Spaces 3
Linear Transformation 1
Linear Transformation 2
Matrix of Linear Transformation 1
Matrix of Linear Transformation 2
Inverse of Linear Transformation 1
Inverse of Linear Transformation 2
Inverse of Linear Transformation 3
Composite of Linear Transformation 1
Reflection of a Transformation 1
Basis for Kernel and Range 1
Basis for Kernel and Range 2
Basis for Kernel and Range 3
Basis for Kernel and Range 4
Basis for Kernel and Range 5
Basis for Kernel and Range 6
Transformations & Change of Basis 1
Transformations & Change of Basis 2
Transformations & Change of Basis 3
Transformations & Change of Basis 4
Transformations & Change of Basis 5
Transformations & Change of Basis 6
Transformations & Change of Basis 7
Transformations & Change of Basis 8
Eigenvalues
Eigenvalue Eigenvector Diagonalizable
Diagonalization 1
Diagonalization 2
Diagonalization 3
Diagonalization 4
Diagonalization 5
Transformations & Eigenvalues 1
Transformations & Eigenvalues 2
Transformations & Eigenvalues 3
Transformations & Eigenvalues 4
Eigenvalue and Null Space