Find the non-singular
matrices `A`
, if it is given that `a d j\ (A)=[-1-2 1 3 0-3 1-4 1]`
.
Text Solution
AI Generated Solution
To find the non-singular matrices \( A \) given that \( \text{adj}(A) = \begin{pmatrix} -1 & -2 & 1 \\ 3 & 0 & -3 \\ 1 & -4 & 1 \end{pmatrix} \), we can use the relationship between a matrix and its adjoint.
### Step 1: Understand the relationship between \( A \) and \( \text{adj}(A) \)
The relationship is given by:
\[
A \cdot \text{adj}(A) = \det(A) \cdot I
\]
...
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