If `A`
is a square matrix such
that `A(a d j\ A)=5I`
, where `I`
denotes the identity
matrix of the same order. Then, find the value of `|A|`
.
Text Solution
AI Generated Solution
To solve the problem, we start with the given equation:
1. **Given**: \( A \cdot \text{adj}(A) = 5I \)
Here, \( I \) is the identity matrix of the same order as \( A \).
2. **Using the property of adjoint**: We know that the product of a matrix \( A \) and its adjoint \( \text{adj}(A) \) can be expressed in terms of the determinant of \( A \):
\[
...
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