Given the matrix A=∣∣∣3−216∣∣∣ A = | 3 − 2 ..

Question 1 Report

Given the matrix $A = | \begin{matrix} 3 & - 2 \\ 1 & 6 \end{matrix} |$ . Find the inverse of matrix A.

| \begin{matrix} 6 & 2 \\ 1 & 6 \end{matrix} |

| \begin{matrix} \frac{2}{11} & \frac{1}{12} \\ \frac{3}{20} & \frac{1}{10} \end{matrix} |

| \begin{matrix} - 3 & 2 \\ - 1 & - 6 \end{matrix} |

| \begin{matrix} \frac{3}{10} & \frac{1}{10} \\ \frac{- 1}{20} & \frac{3}{20} \end{matrix} |

Answer Details

$A = | \begin{matrix} 3 & - 2 \\ 1 & 6 \end{matrix} |$
|A| = (3 x 6) - (-2 x 1)
= 18 + 2
= 20.
A $^{- 1}$ = $\frac{1}{20} | \begin{matrix} 6 & 2 \\ - 1 & 3 \end{matrix} |$
= $| \begin{matrix} \frac{6}{20} & \frac{2}{20} \\ \frac{- 1}{20} & \frac{3}{20} \end{matrix} |$
= $| \begin{matrix} \frac{3}{10} & \frac{1}{10} \\ \frac{- 1}{20} & \frac{3}{20} \end{matrix} |$

View Answer

Given the matrix A=∣∣∣3−216∣∣∣ A = | 3 − 2 1 6 | . Find the inverse of matrix A.