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I just need to download something here, sorry, Cheat Sheet of Linear Algebra

Coverage of topics in Linear Algebra

Typology: Cheat Sheet

2022/2023

Uploaded on 05/21/2024

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Republic of the Philippines
AKLAN STATE UNIVERSITY
College of Teacher Education
Banga, Aklan
Course Syllabus in MATH 20 – Linear Algebra
Program: Bachelor of Secondary Education Major in Mathematics
2nd Semester, AY 2020-2024
Date Revised: March 1, 2024
I.
Intended learning outcome
(ILO)
Topics
At the end of the unit, students
will be able to:
Internalize the vision, mission of
the University and the
institutional program and course
outcomes.
Discuss the content of the course
syllabus, the rules and
regulations of the class, the
grading system, and suggestions
for success in the course.
Vision, Mission, and Outcomes
The University Vision, Mission,
and Institutional Outcomes
College of Teacher Education Vision,
Mission, Goals, Objectives
The BSEd Program Outcomes
The Course Outcomes
Grading System and Suggestions for
Success
At the end of the unit, students
will be able to:
Define matrices and linear
systems;
Solve some systems of linear
equations and miscellaneous
problems;
Perform the algebraic
operations involving
matrices; and
Determine special types of
matrices and partitioned
matrices.
I. Linear Equations and
Matrices
1. Systems of Linear Equations
2. Matrices
3. Matrix Multiplication
4. Algebraic Properties of Matrices -
Mosquera
5. Special Types of Matrices and
Partitioned Matrices -Birol & Remedios
At the end of the unit, students
will be able to:
Determine if the matrix is
in row echelon form or
reduced row echelon form;
Write matrices in row
echelon form or reduced
row echelon form;
Solve linear systems using
II. Solving Systems of Linear Equation
1. Echelon Form of Matrix -Paulino
2. Solving Linear Systems in Echelon
Form -Apruebo & Ili
3. Homogeneous Systems and Balancing
Chemical Equations -Iguiz & Zaldivia
4. Elementary Matrices: Finding A-1 -
Canja
5. Equivalent Matrices -Serino
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Republic of the Philippines

AKLAN STATE UNIVERSITY

College of Teacher Education

Banga, Aklan

Course Syllabus in MATH 20 – Linear Algebra

Program: Bachelor of Secondary Education Major in Mathematics

2 nd^ Semester, AY 2020-

Date Revised: March 1, 2024

I.

Intended learning outcome (ILO) Topics At the end of the unit, students will be able to:

  • Internalize the vision, mission of the University and the institutional program and course outcomes.
  • Discuss the content of the course syllabus, the rules and regulations of the class, the grading system, and suggestions for success in the course. Vision, Mission, and Outcomes

• The University Vision, Mission,

and Institutional Outcomes

• College of Teacher Education Vision,

Mission, Goals, Objectives

• The BSEd Program Outcomes

• The Course Outcomes

• Grading System and Suggestions for

Success At the end of the unit, students will be able to:

  • Define matrices and linear systems;
  • Solve some systems of linear equations and miscellaneous problems;
  • Perform the algebraic operations involving matrices; and
  • Determine special types of matrices and partitioned matrices. I. Linear Equations and Matrices
  1. Systems of Linear Equations
  2. Matrices
  3. Matrix Multiplication
  4. Algebraic Properties of Matrices - Mosquera
  5. Special Types of Matrices and Partitioned Matrices -Birol & Remedios At the end of the unit, students will be able to:  Determine if the matrix is in row echelon form or reduced row echelon form;  Write matrices in row echelon form or reduced row echelon form;  Solve linear systems using II. Solving Systems of Linear Equation
  6. Echelon Form of Matrix -Paulino
  7. Solving Linear Systems in Echelon Form -Apruebo & Ili
  8. Homogeneous Systems and Balancing Chemical Equations -Iguiz & Zaldivia
  9. Elementary Matrices: Finding A-1^ - Canja
  10. Equivalent Matrices -Serino

Gaussian Elimination or Gauss-Jordan Reduction;  Apply homogenous systems in balancing chemical equations;  Use elementary matrices in finding A-1; and  Identify if two matrices are equivalent. MIDTERM EXAMINATION At the end of the unit, students will be able to:  Define the determinant of a square matrix  Compute the determinant of a square matrix  Identify some properties of the determinant of a matrix  Solve problems involving cofactor expansion  Find the inverse of a matrix using determinants; and  Apply Cramer’s Rule to solve systems of linear equations IV. Determinants

  1. Definition of Determinant of a Square Matrix -Zonio
  2. Properties of Determinants -Navejas
  3. Cofactor Expansion -Vidal & Geronimo
  4. Other Application of Determinants in finding the Areas of Some Polygons - Rouado & Madiano
  5. Inverse of a Matrix -Zapico
  6. Cramer’s Rule -Zorca At the end of the unit, students will be able to:  Demonstrate vectors using matrices and graphically;  Determine a real vector space and subspaces using the properties;  Find out if the given set of vectors span some other given vectors;  Evaluate if the given set of vectors are linearly independent;  Identify the basis and dimension of a given set of vectors;  Evaluate the basis and dimensions of some homogenous systems;  Determine the length and direction of R^2 and R^3 V. Vector and Vector Spaces and Linear Transformation
  7. Vectors in the Plane and in 3-space - Cuales
  8. Real Vector Spaces -Isturis
  9. Subspaces -Remetio
  10. Span -Probadora
  11. Linear Independence -Sual
  12. Basis and Dimension -Magbiro
  13. Homogenous Systems -Raga-as
  14. Length and Direction of R^2 and R^3 - Turnino
  15. Gram -Schmidt Process -Coching
  16. Definition and Examples of Linear Transformation -Cordero & Nalica
  17. Kernel and Range of Linear Transformation -Miguel & Nagamos FINAL EXAMINATION

Note: This syllabus is flexible and may include additional topics activities deemed necessary by the teacher.