If `A=[a_(i j)]` is a scalar matrix of order `nxxn` such that `a_(i i)=k` for all `i` , then trace of `A` is equal to `n k` (b) `n+k` (c) `n/k` (d) none of these

Explanation

To solve the problem, we need to find the trace of a scalar matrix \( A \) of order \( n \times n \) where the diagonal elements \( a_{ii} = k \) for all \( i \).

### Step-by-step Solution:

1. **Understanding the Scalar Matrix**:
A scalar matrix is a square matrix where all the diagonal elements are equal and all the non-diagonal elements are zero. In our case, since \( a_{ii} = k \) for all \( i \), this means that all diagonal elements of the matrix \( A \) are equal to \( k \).

2. **Identifying the Diagonal Elements**:
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