Introduction to Linear Algebra, Fifth Edition
5th Edition
ISBN: 9780980232776
Author: Gilbert Strang
Publisher: Wellesley-Cambridge Press
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Chapter 2.4, Problem 34PS
To determine
All the matrices that satisfy the considered condition related to
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4 sinx cos2x+4 cos x sin2x-1=0
For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not possible, enter IMPOSSIBLE.)
6 -2
-[47]
A =
-3 1
P =
Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal.
P-1AP =
(e) Without using a membership table, show that (A N B) U (A N B) = A. State all the rules
used.
Chapter 2 Solutions
Introduction to Linear Algebra, Fifth Edition
Ch. 2.1 - Prob. 1PSCh. 2.1 - Prob. 2PSCh. 2.1 - Prob. 3PSCh. 2.1 - Prob. 4PSCh. 2.1 - Prob. 5PSCh. 2.1 - Prob. 6PSCh. 2.1 - Prob. 7PSCh. 2.1 - Prob. 8PSCh. 2.1 - Prob. 9PSCh. 2.1 - Prob. 10PS
Ch. 2.1 - Prob. 11PSCh. 2.1 - Prob. 12PSCh. 2.1 - Prob. 13PSCh. 2.1 - Prob. 14PSCh. 2.1 - Prob. 15PSCh. 2.1 - Prob. 16PSCh. 2.1 - Prob. 17PSCh. 2.1 - Prob. 18PSCh. 2.1 - Prob. 19PSCh. 2.1 - Prob. 20PSCh. 2.1 - Prob. 21PSCh. 2.1 - Prob. 22PSCh. 2.1 - Prob. 23PSCh. 2.1 - Prob. 24PSCh. 2.1 - Prob. 25PSCh. 2.1 - Prob. 26PSCh. 2.1 - Prob. 27PSCh. 2.1 - Prob. 28PSCh. 2.1 - Prob. 29PSCh. 2.1 - Prob. 30PSCh. 2.1 - Prob. 31PSCh. 2.1 - Prob. 32PSCh. 2.1 - Prob. 33PSCh. 2.1 - Prob. 34PSCh. 2.1 - Prob. 35PSCh. 2.2 - Prob. 1PSCh. 2.2 - Prob. 2PSCh. 2.2 - Prob. 3PSCh. 2.2 - Prob. 4PSCh. 2.2 - Prob. 5PSCh. 2.2 - Prob. 6PSCh. 2.2 - Prob. 7PSCh. 2.2 - Prob. 8PSCh. 2.2 - Prob. 9PSCh. 2.2 - Prob. 10PSCh. 2.2 - Prob. 11PSCh. 2.2 - Prob. 12PSCh. 2.2 - Prob. 13PSCh. 2.2 - Prob. 14PSCh. 2.2 - Prob. 15PSCh. 2.2 - Prob. 16PSCh. 2.2 - Prob. 17PSCh. 2.2 - Prob. 18PSCh. 2.2 - Prob. 19PSCh. 2.2 - Prob. 20PSCh. 2.2 - Prob. 21PSCh. 2.2 - Prob. 22PSCh. 2.2 - Prob. 23PSCh. 2.2 - Prob. 24PSCh. 2.2 - Prob. 25PSCh. 2.2 - Prob. 26PSCh. 2.2 - Prob. 27PSCh. 2.2 - Prob. 28PSCh. 2.2 - Prob. 29PSCh. 2.2 - Prob. 30PSCh. 2.2 - Prob. 31PSCh. 2.2 - Prob. 32PSCh. 2.3 - Prob. 1PSCh. 2.3 - Prob. 2PSCh. 2.3 - Prob. 3PSCh. 2.3 - Prob. 4PSCh. 2.3 - Prob. 5PSCh. 2.3 - Prob. 6PSCh. 2.3 - Prob. 7PSCh. 2.3 - Prob. 8PSCh. 2.3 - Prob. 9PSCh. 2.3 - Prob. 10PSCh. 2.3 - Prob. 11PSCh. 2.3 - Prob. 12PSCh. 2.3 - Prob. 13PSCh. 2.3 - Prob. 14PSCh. 2.3 - Prob. 15PSCh. 2.3 - Prob. 16PSCh. 2.3 - Prob. 17PSCh. 2.3 - Prob. 18PSCh. 2.3 - Prob. 19PSCh. 2.3 - Prob. 20PSCh. 2.3 - Prob. 21PSCh. 2.3 - Prob. 22PSCh. 2.3 - Prob. 23PSCh. 2.3 - Prob. 24PSCh. 2.3 - Prob. 25PSCh. 2.3 - Prob. 26PSCh. 2.3 - Prob. 27PSCh. 2.3 - Prob. 28PSCh. 2.3 - Prob. 29PSCh. 2.3 - Prob. 30PSCh. 2.3 - Prob. 31PSCh. 2.4 - Prob. 1PSCh. 2.4 - Prob. 2PSCh. 2.4 - Prob. 3PSCh. 2.4 - Prob. 4PSCh. 2.4 - Prob. 5PSCh. 2.4 - Prob. 6PSCh. 2.4 - Prob. 7PSCh. 2.4 - Prob. 8PSCh. 2.4 - Prob. 9PSCh. 2.4 - Prob. 10PSCh. 2.4 - Prob. 11PSCh. 2.4 - Prob. 12PSCh. 2.4 - Prob. 13PSCh. 2.4 - Prob. 14PSCh. 2.4 - Prob. 15PSCh. 2.4 - Prob. 16PSCh. 2.4 - Prob. 17PSCh. 2.4 - Prob. 18PSCh. 2.4 - Prob. 19PSCh. 2.4 - Prob. 20PSCh. 2.4 - Prob. 21PSCh. 2.4 - Prob. 22PSCh. 2.4 - Prob. 23PSCh. 2.4 - Prob. 24PSCh. 2.4 - Prob. 25PSCh. 2.4 - Prob. 26PSCh. 2.4 - Prob. 27PSCh. 2.4 - Prob. 28PSCh. 2.4 - Prob. 29PSCh. 2.4 - Prob. 30PSCh. 2.4 - Prob. 31PSCh. 2.4 - Prob. 32PSCh. 2.4 - Prob. 33PSCh. 2.4 - Prob. 34PSCh. 2.4 - Prob. 35PSCh. 2.4 - Prob. 36PSCh. 2.4 - Prob. 37PSCh. 2.4 - Prob. 38PSCh. 2.5 - Prob. 1PSCh. 2.5 - Prob. 2PSCh. 2.5 - Prob. 3PSCh. 2.5 - Prob. 4PSCh. 2.5 - Prob. 5PSCh. 2.5 - Prob. 6PSCh. 2.5 - Prob. 7PSCh. 2.5 - Prob. 8PSCh. 2.5 - Prob. 9PSCh. 2.5 - Prob. 10PSCh. 2.5 - Prob. 11PSCh. 2.5 - Prob. 12PSCh. 2.5 - Prob. 13PSCh. 2.5 - Prob. 14PSCh. 2.5 - Prob. 15PSCh. 2.5 - Prob. 16PSCh. 2.5 - Prob. 17PSCh. 2.5 - Prob. 18PSCh. 2.5 - Prob. 19PSCh. 2.5 - Prob. 20PSCh. 2.5 - Prob. 21PSCh. 2.5 - Prob. 22PSCh. 2.5 - Prob. 23PSCh. 2.5 - Prob. 24PSCh. 2.5 - Prob. 25PSCh. 2.5 - Prob. 26PSCh. 2.5 - Prob. 27PSCh. 2.5 - Prob. 28PSCh. 2.5 - Prob. 29PSCh. 2.5 - Prob. 30PSCh. 2.5 - Prob. 31PSCh. 2.5 - Prob. 32PSCh. 2.5 - Prob. 33PSCh. 2.5 - Prob. 34PSCh. 2.5 - Prob. 35PSCh. 2.5 - Prob. 36PSCh. 2.5 - Prob. 37PSCh. 2.5 - Prob. 38PSCh. 2.5 - Prob. 39PSCh. 2.5 - Prob. 40PSCh. 2.5 - Prob. 41PSCh. 2.5 - Prob. 42PSCh. 2.5 - Prob. 43PSCh. 2.5 - Prob. 44PSCh. 2.6 - Prob. 1PSCh. 2.6 - Prob. 2PSCh. 2.6 - Prob. 3PSCh. 2.6 - Prob. 4PSCh. 2.6 - Prob. 5PSCh. 2.6 - Prob. 6PSCh. 2.6 - Prob. 7PSCh. 2.6 - Prob. 8PSCh. 2.6 - Prob. 9PSCh. 2.6 - Prob. 10PSCh. 2.6 - Prob. 11PSCh. 2.6 - Prob. 12PSCh. 2.6 - Prob. 13PSCh. 2.6 - Prob. 14PSCh. 2.6 - Prob. 15PSCh. 2.6 - Prob. 16PSCh. 2.6 - Prob. 17PSCh. 2.6 - Prob. 18PSCh. 2.6 - Prob. 19PSCh. 2.6 - Prob. 20PSCh. 2.6 - Prob. 22PSCh. 2.6 - Prob. 23PSCh. 2.6 - Prob. 24PSCh. 2.6 - Prob. 25PSCh. 2.6 - Prob. 26PSCh. 2.7 - Prob. 1PSCh. 2.7 - Prob. 2PSCh. 2.7 - Prob. 3PSCh. 2.7 - Prob. 4PSCh. 2.7 - Prob. 5PSCh. 2.7 - Prob. 6PSCh. 2.7 - Prob. 7PSCh. 2.7 - Prob. 8PSCh. 2.7 - Prob. 9PSCh. 2.7 - Prob. 10PSCh. 2.7 - Prob. 11PSCh. 2.7 - Prob. 12PSCh. 2.7 - Prob. 13PSCh. 2.7 - Prob. 14PSCh. 2.7 - Prob. 15PSCh. 2.7 - Prob. 16PSCh. 2.7 - Prob. 17PSCh. 2.7 - Prob. 18PSCh. 2.7 - Prob. 19PSCh. 2.7 - Prob. 20PSCh. 2.7 - Prob. 21PSCh. 2.7 - Prob. 22PSCh. 2.7 - Prob. 23PSCh. 2.7 - Prob. 24PSCh. 2.7 - Prob. 25PSCh. 2.7 - Prob. 26PSCh. 2.7 - Prob. 27PSCh. 2.7 - Prob. 28PSCh. 2.7 - Prob. 29PSCh. 2.7 - Prob. 30PSCh. 2.7 - Prob. 31PSCh. 2.7 - Prob. 32PSCh. 2.7 - Prob. 33PSCh. 2.7 - Prob. 34PSCh. 2.7 - Prob. 35PSCh. 2.7 - Prob. 36PSCh. 2.7 - Prob. 37PSCh. 2.7 - Prob. 38PSCh. 2.7 - Prob. 39PS
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