The element in the second row and third column of the matrix `[(4,5,-6),(3,-4,3),(2,1,0)]` is

Options

A. 3
B. 1
C. `2`
D. `-4`

Answer

To find the element in the second row and third column of the given matrix, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Matrix**: The given matrix is
\[ \begin{bmatrix} 4 & 5 & -6 \\ 3 & -4 & 3 \\ 2 & 1 & 0 \end{bmatrix} \]

2. **Locate the Row and Column**: We need to find the element in the second row and third column.

3. **Count Rows and Columns**:
- The first row is \([4, 5, -6]\).
- The second row is \([3, -4, 3]\).
- The third row is \([2, 1, 0]\).
- The first column is \([4, 3, 2]\).
- The second column is \([5, -4, 1]\).
- The third column is \([-6, 3, 0]\).

4. **Find the Element**:
- The second row is \([3, -4, 3]\).
- The third column of the second row is the third element in this row, which is \(3\).

5. **Conclusion**: The element in the second row and third column of the matrix is \(3\).

### Final Answer:
The element in the second row and third column of the matrix is **3**.