f12-2 B=-25-2 -66-3 -300 A=|0 30 13 Take word for it that my X,(2)=X,(2)= (a+3)(2-3)? Q) For the metrix A find (() the eigen values @) the corresponding eigenspoces (i) a diagind matrix D aid an matrix P such that A= Re PDP if such motricos exist, and if they don't exist explain Viow you kn ouw. invertible 1.
f12-2 B=-25-2 -66-3 -300 A=|0 30 13 Take word for it that my X,(2)=X,(2)= (a+3)(2-3)? Q) For the metrix A find (() the eigen values @) the corresponding eigenspoces (i) a diagind matrix D aid an matrix P such that A= Re PDP if such motricos exist, and if they don't exist explain Viow you kn ouw. invertible 1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Transcribed Image Text:(2.) Consider the matrices
1 2 -2
B=-25-2
-66-3
f-300
A=0 3 0
13
Take
word for it tat
my
X,(2)=X
(2)=(At3)(2-3)?
a) For the matrix A find
(1) the eigen values
i) the correspondeing eigenspoces
(1) a diagind matrix D aid an invertible
matrix P such that A= R PDP
if such mitrices exist, and if they
don't exist explain how you know.
O Repeat (a) for the matrix B
1-
you
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