Linear Algebra Part 4 (Echelon Matrix & Normal Form Matrix)

سرفصل های دوره

1 - Echelon Matrix

1 - Introduction to Echelon Matrix with Examples

2 - Find the Basis Dimension of Subspaces Sum of Subspaces

3 - Find the Basis Dimension of Subspaces Sum of Subspaces Itheir Intersection

4 - Find the Basis Dimension of the subspaces for including vectors a0b

5 - Find the Basis Dimension of Subspaces for xzplane

6 - Find the Basis Dimension of xyplane and y axis

7 - Show that Sum of the Subspaces is R

2 - Extension of Basis

8 - Find the Basis Dimension of Subspace and extend its Bssis

9 - Extend the set 11111212 to form Basis for R4

10 - Extend the set 0012300212 to form Basis for R5

11 - Find the Dimension of Sum and Intersection of Subspaces for Real Polynomials

12 - Find the Basis Dimension of W fx f1 0 and also extend its Basis

13 - Find the Basis Dimension of W fx f1 0 and also extend its Basis

14 - Find the Basis Dimension of Sum of Subspaces for previous content Polynomials

15 - Find Basis Dim of Intersection of Subspaces for previous content Polynomials

3 - Basis and Dimension of Solution Space

16 - Basis and Dimension of Solution Space of system of Linear Equations

17 - Basis Dimension of Subspace W xyzz xy y 2x

18 - Basis dimension of Sum and Intersection of given Subspaces of R4

19 - Basis dimension of Sum and Intersection of given Subspaces of R4 Exercise 2

20 - Basis dimension of Sum and Intersection of given Subspaces of R4 Exercise 3

21 - Determine whether given polynomials are Linearly Independent or Dependent

22 - Determine whether given Matrices are Linearly Independent or Dependent

4 - Rank of a Matrix

23 - Introduction to Rank of Matrix

24 - Theorem 1 on Rank of Matrix

25 - Theorem 2 on Rank of Matrix Equivalent Statements

26 - Show that row column operation is an Equivalence Relation

27 - Important Results on rank of Matrix

5 - Normal Form of Matrix

28 - Introduction to Normal Form of Matrix Reduction to Normal Form of Matrix

29 - Reduction to Normal Form of Matrix illustrating with an Example

30 - Reduce the given Matrix into its Normal Form and also Determine its Rank

31 - Prove that Row Rank of A Rank of A Column Rank of A where A is given Matrix

32 - Find the Rank of Matrix by reducing this matrix into its Normal Form

33 - Find the Non Singular Matrices P Q st PAQ is in Normal Form

34 - Practice Assignment to find the Non Singular Matrices

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تولید کننده: Udemy