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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77cac1a6-5ad9-4f72-bdd9-21a202e53df4%2F1eb7457a-5790-47c6-a05d-a72fae077e9f%2F34wtmb5.png&w=3840&q=75)
Transcribed Image Text: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.
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