A composite of matrices is said to be expanded if they are expressed as the sum or products of single matrices. For example, the expanded form of (AB)-', where A and B are square invertible matrices of the same size, is B-'A¬!. Given this notion of expansion, expand the following. ([AB + (CD)"] [(EF)-1 + GH]))" . All matrices A, B, …, H are square, invertible and of the same size.

A composite of matrices is said to be expanded if they are expressed as the sum or products of single matrices. For example, the expanded form of (AB)-', where A and B are square invertible matrices of the same size, is B-'A¬!. Given this notion of expansion, expand the following. ([AB + (CD)"] [(EF)-1 + GH]))" . All matrices A, B, …, H are square, invertible and of the same size.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.5: Determinants

Problem 82E: Use an example chosen from 22 matrices to show that for nn matrices A and B,ABBA but AB=BA.

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