One Prove Property the flig statements property li is true by reordering to form a proof A, BV Max the sum A AB is in V=M₂x = should A) Assume that A and B are in V 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 numb the definition AAB, cij = aij x bij D) By the definition E Tet aij, bij, cij be the ith entries of the matrices A, B, and C = AⓇB respectively I) Therefore, A B must be in V- be as a string letters-ex FEDCBA.

One Prove Property the flig statements property li is true by reordering to form a proof A, BV Max the sum A AB is in V=M₂x = should A) Assume that A and B are in V 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 numb the definition AAB, cij = aij x bij D) By the definition E Tet aij, bij, cij be the ith entries of the matrices A, B, and C = AⓇB respectively I) Therefore, A B must be in V- be as a string letters-ex FEDCBA.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.6: Matrices

Problem 17E

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