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Lesson 3D Inverse Matrices

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: [email protected] Enjoy! 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: [email protected] 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