Lesson 10A Sequences and Series

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Somali:
Somalibesttutor waxaad ka heleysaa koorsooyin Xisaab iyo Kimisreti lagu sharxay af Soomaali, waxaadna ka baran kartaa meel kasta oo aad dunida ka joogto.

English:
Somalibesttutor is an online educational platform that offers high-quality courses of Mathematics and Chemistry to Somali students at any level wherever they are.

Subscribe, Share and Like to get the next videos

Facebook: https://www.facebook.com/Somalionline...
Contact us: mahad651@outlook.com

Enjoy!

INTRODUCTION

Matrices
1. Matrices
o Definition of Matrix
o Types of Matrices
o Order of Matrices
o Properties of Matrices
o Operation of Matrices
2. Determinant of Matrices
o Determinant of (2x2)-Matrix
o Determinant of (3x3)-Matrix
• Expanding Minors and Cofactors Method
• Column Rotation Method
3. Inverse Matrix
o Inverse Matrix (2x2)
• Using First Method
• Using Identity Matrix
o Inverse Matrix (3x3)
• Determinant, Cofactor and Adjoint Method
• Using Identity Matrix
o Unitary Matrix and Identity Matrix
o Singular and Non-Singular Matrix
4. Solving Linear Equations Using Inverse Matrix
o by Using Inverse Matrix [ (2x2) and (3x3) Matrix ]
5. Solving Linear Equations Using Cramer’s Rule
o by Using Cramer’s Rule [ (2x2) and (3x3) Matrix ]
6. Solving Linear Equations Using Row Echelon Form (REF) and Reduced Row Echelon Form (RREF)
o Gaussian Elimination [ (2x2) and (3x3) Matrix ]
o Gauss-Jordan Elimination [ (2x2) and (3x3) Matrix ]
7. Consistent Matrix
o Linear Dependent Matrix
8. Inconsistent Matrix
o Linear Independent Matrix
o Coincident Dependent Matrix
9. Area of Triangle and Collinearity
o Area of a Triangle Using Matrix
o Test for Collinear Points.

Sequences and Series
10. Sequence and Series
o Definition of Sequence and Series
o Difference between Sequence and Series
o Difference between Sequence Notation and Function Notation
o General Term ( N-th Term )
o Recursively Defined Sequence
o Alternating Sequence
o n-Factorial
o Summation Notation ( Sigma Notation )
o Properties of Summation Notation
11. Arithmetic Sequence and Series
o Common Difference
o N-th Term ( General Term ) of an Arithmetic Series
o N-th Partial Sum of an Arithmetic Series
12. Geometric Sequence and Series
o Common Ratio
o N-th Term ( General Term ) of a Geometric Sequence
o N-th Partial Sum of a Geometric Series
o N-th Sum of an Infinite Geometric Series

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