If `A`
is a square matrix of
order 3 such that `|A|=5`
, write the value of `|a d j\ A|`
.
Text Solution
AI Generated Solution
To find the value of \(|\text{adj}\, A|\) for a square matrix \(A\) of order 3 with \(|A| = 5\), we can use the property of determinants related to the adjoint of a matrix.
### Step-by-step Solution:
1. **Understand the properties of determinants**: For any square matrix \(A\) of order \(n\), the determinant of the adjoint of \(A\) is given by the formula:
\[
|\text{adj}\, A| = |A|^{n-1}
\]
...
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