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one Prove Property the flig statements property li Ans is true by reordening to form a proofr A, BV Max, the sum A 4B is in V=M₂x+ = A) Assume that A and B are in V B) Then, Since aij, bij are real numbers, Cij is also a real number We then know that A B is a 3x3 matrix of real number D) By the definition AAB, cij = aij x bij Tot aij, bij, cij be the ith entries of the matrices A, B, and C = AⓇR respectively Therefore, AB must be in V should be as a string letters -ex FEDCBA-

one Prove Property the flig statements property li Ans is true by reordening to form a proofr A, BV Max, the sum A 4B is in V=M₂x+ = A) Assume that A and B are in V B) Then, Since aij, bij are real numbers, Cij is also a real number We then know that A B is a 3x3 matrix of real number D) By the definition AAB, cij = aij x bij Tot aij, bij, cij be the ith entries of the matrices A, B, and C = AⓇR respectively Therefore, AB must be in V should be as a string letters -ex FEDCBA-

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...
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(D) E Prove Property the flig statements property li 4 A) Assume that A and B are in V B) Then, Since one Ans is true by reordering to form a proof. should A₁ B₁ V = Max the sum AB is in V = M₂ x + a real number We then know that AB is a 3x3 matrix of real numbers the definition AB, cij = aij x bij By Tot aij, bij, cij be the ith entries of the matrices A, B, and C = AⓇR respectively Therefore, AB must be in W be as a letters-ex FEDCBA- aij, bij are real numbers, Cij is also
Transcribed Image Text:(D) E Prove Property the flig statements property li 4 A) Assume that A and B are in V B) Then, Since one Ans is true by reordering to form a proof. should A₁ B₁ V = Max the sum AB is in V = M₂ x + a real number We then know that AB is a 3x3 matrix of real numbers the definition AB, cij = aij x bij By Tot aij, bij, cij be the ith entries of the matrices A, B, and C = AⓇR respectively Therefore, AB must be in W be as a letters-ex FEDCBA- aij, bij are real numbers, Cij is also
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