Let A be `5xx8` matrix, then each column of A contains

Options

A. 5 elements
B. 8 elements
C. 40 elements
D. 13 elements

Answer

To solve the problem, we need to analyze the given matrix A, which is a \(5 \times 8\) matrix. The notation \(m \times n\) indicates that the matrix has \(m\) rows and \(n\) columns.

### Step-by-Step Solution:

1. **Identify the dimensions of the matrix**:
- The matrix A is given as a \(5 \times 8\) matrix.
- Here, \(m = 5\) (number of rows) and \(n = 8\) (number of columns).

2. **Understand the structure of the matrix**:
- A matrix is structured in rows and columns. For a \(5 \times 8\) matrix, there are 5 rows and 8 columns.
- Each column will contain the same number of elements, which is equal to the number of rows.

3. **Determine the number of elements in each column**:
- Since there are 5 rows in the matrix, each column will contain exactly 5 elements.
- This can be visualized as follows:
- The first column will have elements \(A_{11}, A_{21}, A_{31}, A_{41}, A_{51}\).
- The second column will have elements \(A_{12}, A_{22}, A_{32}, A_{42}, A_{52}\).
- This pattern continues for all 8 columns.

4. **Conclude the number of elements in each column**:
- Therefore, each column of matrix A contains 5 elements.

### Final Answer:
Each column of A contains **5 elements**.