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. log 2 x + 7 y + z = 4.1 e 2 x − 3 y − π z = − 3.7 ln 10 x + y − 2.2 z = 7.2
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. log 2 x + 7 y + z = 4.1 e 2 x − 3 y − π z = − 3.7 ln 10 x + y − 2.2 z = 7.2
Solution Summary: The author explains how to calculate 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.
log
2
x
+
7
y
+
z
=
4.1
e
2
x
−
3
y
−
π
z
=
−
3.7
ln
10
x
+
y
−
2.2
z
=
7.2
In the Attached Problem, show that the matrix A is nilpotent and then use this fact to find the matrix Exponential eAt .
Solve the following nonhomogeneous system of linear differential equations.You can use Mathcad, Excel, a calculator, or hand calculations for the required matrix calculations
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.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.