Uaing the properties O have Tearnea Symme tric are is matricese (Hint: The se proofs should only be obout3 ste. each 2 man matrix, then AAT ond an
Uaing the properties O have Tearnea Symme tric are is matricese (Hint: The se proofs should only be obout3 ste. each 2 man matrix, then AAT ond an
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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Question

Transcribed Image Text:4.) Sammetric Matrices; A
square matrix is said to be
is symmetric hat
matrixd and shou that
Tsing the ae
saidl to be symmetric if As A, So ito show a matria
have 'to take tHhe transpose of the
get the
have learned
matrix, then AAT ond 'A are summetric
matricese CHint: The se proofs should only be obout3 steps
original matrit bock.
that if A
frove
propertics
an
man
each 2
Expert Solution

Step 1
Given A is any matrix.
Claim: is symmetric.
Proof: Consider Using the property of transpose i.e and
Thus is symmetric.
Step by step
Solved in 2 steps

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