Given the matrix A begin vmatrix 3 amp -2 1 amp... - JAMB Mathematics 2019 Question
Given the matrix \(A = \begin{vmatrix} 3 & -2 \ 1 & 6 \end{vmatrix}\). Find the inverse of matrix A.
A
\(\begin{vmatrix} 6 & 2 \ 1 & 6 \end{vmatrix}\)
B
\(\begin{vmatrix} \frac{2}{11} & \frac{1}{12}\ \frac{3}{20} & \frac{1}{10} \end{vmatrix}\)
C
\(\begin{vmatrix} -3 & 2 \ -1 & -6 \end{vmatrix}\)
D
\(\begin{vmatrix} \frac{3}{10} & \frac{1}{10} \ \frac{-1}{20} & \frac{3}{20}\end{vmatrix}\)
correct option: d
\(A = \begin{vmatrix} 3 & -2 \ 1 & 6 \end{vmatrix}\)
|A| = (3 x 6) - (-2 x 1)
= 18 + 2 = 20.
A\(^{-1}\) = \(\frac{1}{20} \begin{vmatrix} 6 & 2 \ -1 & 3 \end{vmatrix}\)
= \(\begin{vmatrix} \frac{6}{20} & \frac{2}{20} \ \frac{-1}{20} & \frac{3}{20} \end{vmatrix}\)
= \(\begin{vmatrix} \frac{3}{10} & \frac{1}{10} \ \frac{-1}{20} & \frac{3}{20} \end{vmatrix}\)
Please share this, thanks:
Add your answer
No responses