Use a graphing calculator and the method of matrix inverses to 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) $\{ ( 4.12321,3.91519,1.27440 ) \}$
B) $\{ ( 0.30103,9.0309,1.38629 ) \}$
C) $\{ ( 9.25474,1.35236 , - 0.16880 ) \}$
D) $\varnothing$

Question

Use a graphing calculator and the method of matrix inverses to 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) $\{ ( 4.12321,3.91519,1.27440 ) \}$
B) $\{ ( 0.30103,9.0309,1.38629 ) \}$
C) $\{ ( 9.25474,1.35236 , - 0.16880 ) \}$
D) $\varnothing$

Quizplus · Accepted Answer

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