Use a graphing calculator and the method of matrix inverses to solve the system. Give five decimal places, if necessary.
-$$\begin{array} { l }
3.2 x + \pi y = \sqrt { 5 } \
\sqrt { 3 } x - 7.84 y = 4
\end{array}$$
A) $\{ ( 0.98584 , - 0.29241 ) \}$
B) $\{ ( 0,1 ) \}$
C) $\{ ( 0.25269,0.45438 ) \}$
D) $\{ ( 1.25432 , - 0.73113 ) \}$

Question

Use a graphing calculator and the method of matrix inverses to solve the system. Give five decimal places, if necessary.
-$$\begin{array} { l } 
3.2 x + \pi y = \sqrt { 5 } \
\sqrt { 3 } x - 7.84 y = 4
\end{array}$$
A) $\{ ( 0.98584 , - 0.29241 ) \}$
B) $\{ ( 0,1 ) \}$
C) $\{ ( 0.25269,0.45438 ) \}$
D) $\{ ( 1.25432 , - 0.73113 ) \}$

Quizplus · Accepted Answer

To solve the system using matrix inverses, we first represent the system in matrix form AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix. Then, we find the inverse of A (if it exists) and multiply it by B to find X. The correct solution is obtained by performing these calculations, leading to the answer $\{ ( 0.98584 , - 0.29241 ) \}$.

Use a Graphing Calculator and the Method of Matrix Inverses 3.2x+πy=53x−7.84y=4\begin{array} { l } 3.2 x + \pi y = \sqrt { 5 } \\\sqrt { 3 } x - 7.84 y = 4\end{array}3.2x+πy=5​3​x−7.84y=4​

Use a Graphing Calculator and the Method of Matrix Inverses $\begin{array} { l } 3.2 x + \pi y = \sqrt { 5 } \\\sqrt { 3 } x - 7.84 y = 4\end{array}$