For any `2xx2`
matrix, if `A\ (a d j\ A)=[10 0 0 10]`
, then `|A|`
is equal to
(a) 20 (b) 100 (c) 10 (d) 0
Text Solution
AI Generated Solution
To solve the problem, we need to find the determinant of the matrix \( A \) given that \( A \cdot \text{adj}(A) = \begin{pmatrix} 10 & 0 \\ 0 & 10 \end{pmatrix} \).
### Step-by-step Solution:
1. **Understand the relationship between a matrix and its adjoint:**
The relationship between a matrix \( A \) and its adjoint \( \text{adj}(A) \) is given by the equation:
\[
A \cdot \text{adj}(A) = |A| I
...
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