Read the SageMath code for understanding, and evaluate the SageCell. Use your findings to provide a matrix H such that HAH¹ = C. A = -17 19 16 3 -5 -19 -3 20; C = 15 4083 31 81100 31 30576 31 2661 62 3262 31 11087 31 1597 62 2439 31 7376 31

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 57RE
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Read the SageMath code for understanding, and evaluate the SageCell. Use your findings to provide a
matrix H such that HAH¹ = C.
A
123456789
10
-17 19 -31
16
-5 -19 15
3 20; C =
4083
31
8110
31
30576
31
2661
62
3262
31
11087
31
1597
62
2439
31
7376
31
# Variables
var('a,b,c,d, f,g, h, j,k')
#Similar matrice
A = matrix (3, 3, [-17, 19, -3,16,3,20,-5, -19,15])
C = matrix (3,3, [-4083/31,2661/62,-1597/62,8110/31,-3262/31,2439/31,30576/31,-11087/1
# Unknown matrix
H = matrix (3,3,[a,b,c,d, f,g,h,j,k])
print (A); print (); print (C); print()
# Solve for H
print (solve((H*A-C*H). list(),[a, b,c,d,f,g,h,j,k]))
Transcribed Image Text:Read the SageMath code for understanding, and evaluate the SageCell. Use your findings to provide a matrix H such that HAH¹ = C. A 123456789 10 -17 19 -31 16 -5 -19 15 3 20; C = 4083 31 8110 31 30576 31 2661 62 3262 31 11087 31 1597 62 2439 31 7376 31 # Variables var('a,b,c,d, f,g, h, j,k') #Similar matrice A = matrix (3, 3, [-17, 19, -3,16,3,20,-5, -19,15]) C = matrix (3,3, [-4083/31,2661/62,-1597/62,8110/31,-3262/31,2439/31,30576/31,-11087/1 # Unknown matrix H = matrix (3,3,[a,b,c,d, f,g,h,j,k]) print (A); print (); print (C); print() # Solve for H print (solve((H*A-C*H). list(),[a, b,c,d,f,g,h,j,k]))
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