Linear Algebra
28 videos • 1,423 views • by IK Knowledge Orchard
1
Introduction to Matrices | Types of Matrices | Rectangular, Diagonal , Triangular, Scalar Matrices
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2
Matrix Operations | Addition, Subtraction, Multiplication of Matrices | Transpose of Matrices
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3
Introduction to System of Linear Equations | Unique Solutions | Infinite Many Solution | No solution
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4
Linear Equations in the Form of Matrices | Unique Solution of System of Linear Equations Part 2
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5
Inverse Matrix || Inverse of Matrices || Determinants, Minors, Cofactors, Adjoint of 3x3 Matrices
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6
Gauss Jordan elimination method for unique solution of system of linear equations of any size part 3
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7
Row Operations |Gauss Jorden by using row operations for the solution of system of linear Equations
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8
A System of Linear Equations that has No Solution | Theorm for Solution of System of linear Eq.'S
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9
Matrices and Gauss Jordan elimination method for solving system of linear equation any size part 4
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10
System of linear Equations undermined and over determined solution | Infinite solutions of equtions
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11
Inverse of Matrices by using row Operations | Inverse of non singular matrices by gussa elimination
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12
Cramer's Rule for solution of system of linear Equations | Cramer's Rule for unique solution
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13
Groups | General Linear Groups | Special Linear Groups | Upper/lower triangular non singular groups
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14
Rings and Fields with examples || Linear Algebra || Rings || Field || Algebra
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15
Introduction to vector space with examples || R^2 is a vector space complete solved | Linear Algebra
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16
Show that set of all 2×2 Matrices form a vector space under matrix addition & scalar multiplication
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17
Verctor space V over a field F || Important theorem related to Verctor space over a field || Algebra
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18
Subspace of a vector space over field || Subpace's of R^2 , R^3 || Subspace of set of 2×2 Matrices
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19
Linear Combinations of vectors || Linear Span of vector || Vector space over field || Linear Algebra
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20
Short Tricks to check Linearly Dependent vector || Linearly Independent vector || Vector Space
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21
Basis of a vector space with examples || Standard basis of R^2 and R^3 || Vector space || Algebra
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22
Dimention of Vector space || Finite dimentional vector space || Basis of vector space || Algebra
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23
Homomorphism || Linear Transformation with Examples || Monomorphism || Epimorphism || Isomorphism
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24
Linear Operator |Check linearity of Differential, Integral Operator, Trignometric, Inverse operator
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25
Comparison of Kernel and Range of Linear Transformation || Linear Transformation|| Linear Algebra
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26
Short tricks to find Eigen values and Eigen vectors || How to find Eigen values and Eigen vectors?
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27
Diagonalizable matrices || Eigen values and Eigen vectors || Linear Algebra || Diagonalization
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28
Polynomial Of Matrices || Linear Algebra || Schaum's Outline of Linear Algebra (4th Edition)
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