For Exercises 72-73, use a graphing calculator and the inverse of the coefficient matrix to find the solution to the given system. Round to 2 decimal places. 11 x + y − ln 5 z = 52.3 7 x − π y + e 3 z = − 27.5 − x + log 81 y − z = 69.8
For Exercises 72-73, use a graphing calculator and the inverse of the coefficient matrix to find the solution to the given system. Round to 2 decimal places. 11 x + y − ln 5 z = 52.3 7 x − π y + e 3 z = − 27.5 − x + log 81 y − z = 69.8
Solution Summary: The author calculates the solution to the system of equations using graphing calculator.
For Exercises 72-73, use a graphing calculator and the inverse of the coefficient matrix to find the solution to the given system. Round to
2
decimal places.
11
x
+
y
−
ln
5
z
=
52.3
7
x
−
π
y
+
e
3
z
=
−
27.5
−
x
+
log
81
y
−
z
=
69.8
For the Attached Problem, use the method of variation of parameters (and perhaps a computer algebra system) to solve the initial value problem
x’ = Ax + f(t), x(a) = xa .
In each problem we provide the matrix exponential eAt as provided by a computer algebra system.
What is the general solution in matrix form? x(t)=
Compute the matrix exponential
e^At
for the system
x′=Ax
given below.
x′1=20x1−20x2,
x′2=10x1−10x2
eAt=enter your response here
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