Use matrix operations to solve the following system of linear equations. 4x-2y+6z = 8 2x+8y+2z = 4 6x+10y+3z = 0

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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please solve question 3 matlab physics

Question 1
An object with an initial temperature of T, that is placed at time t=0 inside a
chamber that has a constant temperature of 7, will experience a temperature
change according to the equation
-k
T = T₁+ (T₁-T₂) e¹*
where 7 is the temperature of the object at time t, and k is a constant. A soda can at
a temperature of 120°F (after being left in the car) is placed inside a refrigerator
where the temperature is 38°F. Determine, to the nearest degree, the temperature
of the can after three hours. Assume k-0.45. First define all of the variables and
then calculate the temperature using one MATLAB command.
Question 2:
Create a 6 x 6 matrix in which the middle two rows and the middle two columns
are 1s and the rest of the entries are Os.
Question 3:
Use matrix operations to solve the following system of linear equations.
4x-2y+6z = 8
2x+8y+2z = 4
6x+10y+3z = 0
Transcribed Image Text:Question 1 An object with an initial temperature of T, that is placed at time t=0 inside a chamber that has a constant temperature of 7, will experience a temperature change according to the equation -k T = T₁+ (T₁-T₂) e¹* where 7 is the temperature of the object at time t, and k is a constant. A soda can at a temperature of 120°F (after being left in the car) is placed inside a refrigerator where the temperature is 38°F. Determine, to the nearest degree, the temperature of the can after three hours. Assume k-0.45. First define all of the variables and then calculate the temperature using one MATLAB command. Question 2: Create a 6 x 6 matrix in which the middle two rows and the middle two columns are 1s and the rest of the entries are Os. Question 3: Use matrix operations to solve the following system of linear equations. 4x-2y+6z = 8 2x+8y+2z = 4 6x+10y+3z = 0
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