Linear Algebra Part 3 (Row Space & Column space of Matrix)

Files Included :

1 Introduction to Leading Entry & Column Index.mp4 (74.94 MB)
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2 Introduction to Row Echelon Matrix.mp4 (53.65 MB)
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3 Elementary Row Matrices.mp4 (43.74 MB)
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4 Theorem on Elementary Column Matrices.mp4 (9.21 MB)
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5 Row Space & Row Rank of a Matrix.mp4 (29.61 MB)
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6 Show that R(PA) = R(A) if P is a Non Singular Matrix.mp4 (24.95 MB)
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7 Show that Row Rank(PA) = Row Rank (A) If P is a Non Singular Matrix.mp4 (26.11 MB)
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8 Prove that R(A) = R(B) & consequently Row Rank(A) = Row Rank(B).mp4 (21.99 MB)
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1 Number of non zero rows of an Row Echelon Matrix equals to the Row rank of A.mp4 (33.73 MB)
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2 Basis for the Row Space of an Equivalent matrix.mp4 (26.36 MB)
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3 Expected Theorem Equivalent statements for two Matrices.mp4 (38.4 MB)
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4 Matrix A is Non Singular if and only if Matrix B is Non singular.mp4 (17.17 MB)
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5 Examples of matrices having equal Row Rank and vector common to their row space.mp4 (24.27 MB)
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6 If R(A) subset of R(B) then R(A) = R(B) if A is non singular.mp4 (14.8 MB)
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1 Introduction to Column Space and Column rank of a Matrix.mp4 (26.68 MB)
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10 Give an example of A & B matrices s t C(A) = C(B) & R(A) = R(B).mp4 (19.22 MB)
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2 Show that C(AQ) is a subset of C(A) & C(AQ) = C(A) if a is Non singular Matrix.mp4 (22.63 MB)
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3 Show that Column Rank(AQ) = Column Rank(A) if A is Non singular Matrix.mp4 (24.23 MB)
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4 Show that C(A) = C(B) & Column Rank (A) = Column Rank (B).mp4 (23.95 MB)
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5 Column Rank of a Column Echelon Matrix D is equal to its no of non zero rows.mp4 (36.47 MB)
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6 Non zero Columns of D which is Column equivalent to A forms Basis for C(A).mp4 (31.88 MB)
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7 Equivalent Statements for two Matrices.mp4 (35.8 MB)
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8 If C(A) = C(B) then A is Non singular if and only if B is Non Singular.mp4 (18.16 MB)
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9 If C(A) is subset of C(B) then show that C(A) = C(B) if A is Non singular Matrix.mp4 (22.85 MB)
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1 Find the Basis for Row Space of Matrix.mp4 (30.17 MB)
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10 In R³, find the Basis and Dimension for xy-plane.mp4 (11.93 MB)
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11 In R³, find the Basis and Dimension yz-plane.mp4 (15.43 MB)
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12 Find the Basis and Dimension for z-axis.mp4 (12.02 MB)
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13 Find the Basis and Dimension for (a,0,b) for all reals 'a' & 'b'.mp4 (11.2 MB)
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14 Find the Basis & Dim for W having the vectors whose first component is 0.mp4 (18.24 MB)
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2 Find the Basis and Dimension of Row Space of Matrix.mp4 (33.73 MB)
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3 Find the Basis and Dimension of Row Space of Matrix where, A is 3 by 3 Matrix.mp4 (15.76 MB)
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4 Prove that R(A) = R(B) for two given matrices A & B.mp4 (28.04 MB)
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5 Find the Basis for the Row Space of Matrix generated by the given Vectors.mp4 (27.12 MB)
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6 Prove that two Vector Spaces generated by different Vectors are Equal.mp4 (36.54 MB)
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7 Show that space V is equal to the Space W generated by different Vectors.mp4 (36.81 MB)
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8 Assignment Based on Basis & Dimension provided with Answers.mp4 (9.11 MB)
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9 In R³, find the basis for xz-plane.mp4 (16.07 MB)
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1 Introduction to the Coordinate Vector relative to the Standard Ordered Basis.mp4 (18.32 MB)
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2 Eg 1)Find the Basis of the Vector Space generated by the Given Polynomials.mp4 (39.3 MB)
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3 Eg 2)Find the Basis of the Vector Space generated by the Given Polynomials.mp4 (40.09 MB)
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4 Show that the Vector Spaces V & W generated by given Polynomials are Equal.mp4 (56.68 MB)
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5 Eg3) Find the Basis for Subspace W of V generated by given Matrices.mp4 (42.45 MB)
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6 Eg4) Find the Basis for Subspace W of V generated by given Matrices.mp4 (44.74 MB)
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7 Assignment on Basis & dimension on Coordinate Vectors.mp4 (16.15 MB)
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