Use a graphing calculator and the method of matrix inverses to solve the system. Give five decimal places, if necessary.
-$$\begin{array} { l }
( \log 2 ) x + ( \ln 3 ) y + ( \ln 5 ) z = 4 \
( \ln 3 ) x + ( \log 8 ) y + ( \ln 10 ) z = 11 \
( \log 23 ) x + ( \ln 7 ) y + ( \ln 4 ) z = 15
\end{array}$$
A) $\varnothing$
B) $\{ ( 4.12321,3.91519,1.27440 ) \}$
C) $\{ ( 0.30103,9.0309,1.38629 ) \}$
D) $\{ ( 9.25474,1.35236 , - 0.16880 ) \}$

Question

Use a graphing calculator and the method of matrix inverses to solve the system. Give five decimal places, if necessary.
-$$\begin{array} { l } 
( \log 2 ) x + ( \ln 3 ) y + ( \ln 5 ) z = 4 \
( \ln 3 ) x + ( \log 8 ) y + ( \ln 10 ) z = 11 \
( \log 23 ) x + ( \ln 7 ) y + ( \ln 4 ) z = 15
\end{array}$$
A) $\varnothing$
B) $\{ ( 4.12321,3.91519,1.27440 ) \}$
C) $\{ ( 0.30103,9.0309,1.38629 ) \}$
D) $\{ ( 9.25474,1.35236 , - 0.16880 ) \}$

Quizplus · Accepted Answer

The solution to the system of equations using matrix inverses is $(9.25474, 1.35236, -0.16880)$.

Use a Graphing Calculator and the Method of Matrix Inverses