50242498764c2d01c8fdc307section 2.1OPENITEMSINFOEnter a 3 x 3 symmetric matrix A that has entries a11 = 1, a22 = 5, a33 = 4, a12 = 3, a13 = 2, and a32 = 0.A =

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Enter a 3 x 3 symmetric matrix A that has entries a11 = 1, a22 = 5, a33 = 4, a12 = 3, a13 = 2, and = 0. %3D a32 %3D A =

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.CR: Review Exercises

Problem 37CR

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Question

50242498764c2d01c8fdc307
section 2.1
OPEN
ITEMS
INFO
Enter a 3 x 3 symmetric matrix A that has entries a11 = 1, a22 = 5, a33 = 4, a12 = 3, a13 = 2, and a32 = 0.
A =

Expert Solution

Step 1

$G i v e n A i s 3 \times 3 S y m m e t r i c m a t r i x w i t h e n t r i e s a_{11} = 1, a_{22} = 5, a_{33} = 4, a_{12} = 3 a_{13} = 2 a n d a_{32} = 0 . W e k n o w t h a t A s q u a r e m a t r i x A i s s y m m e t r i c i f f A^{T} = A . i . e I f A = [\begin{matrix} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{matrix}] . T h e n A i s s y m m e t r i c i f f A = A^{T}$

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