Let A,B and C be three matrices where the matrix product AB and AC and the sum B+C all exist. Show that the distributive law applies to matrices, using the definition of matrix multiplication. So show that A(B+C)=AB+AC
Let A,B and C be three matrices where the matrix product AB and AC and the sum B+C all exist. Show that the distributive law applies to matrices, using the definition of matrix multiplication. So show that A(B+C)=AB+AC
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 76E
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Let A,B and C be three matrices where the matrix product AB and AC and the sum B+C all exist. Show that the distributive law applies to matrices, using the definition of matrix multiplication. So show that A(B+C)=AB+AC
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