Find the inverse of the
matrix ` A=[[8,4,2],[2,9,4],[1,2,8]]`
.
Text Solution
AI Generated Solution
To find the inverse of the matrix \( A = \begin{bmatrix} 8 & 4 & 2 \\ 2 & 9 & 4 \\ 1 & 2 & 8 \end{bmatrix} \), we will follow these steps:
### Step 1: Calculate the Determinant of Matrix A
The determinant of a 3x3 matrix \( A = \begin{bmatrix} a & b & c \\ d & e & f \\ g & h & i \end{bmatrix} \) is given by the formula:
\[
\text{det}(A) = a(ei - fh) - b(di - fg) + c(dh - eg)
...
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