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The number of columns of the matrix [(1...

The number of columns of the matrix `[(1,2,3,4,5,6),(7,8,9,10,11,12)]` is _____.

A

2

B

6

C

3

D

5

Text Solution

AI Generated Solution

The correct Answer is:
To find the number of columns in the given matrix `[(1,2,3,4,5,6),(7,8,9,10,11,12)]`, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Matrix Structure**: The given matrix is represented as: \[ \begin{pmatrix} 1 & 2 & 3 & 4 & 5 & 6 \\ 7 & 8 & 9 & 10 & 11 & 12 \end{pmatrix} \] This matrix has two rows and six columns. 2. **Count the Columns**: To count the number of columns, we look at how many elements are in each row. Each row contains the following elements: - First row: 1, 2, 3, 4, 5, 6 (6 elements) - Second row: 7, 8, 9, 10, 11, 12 (6 elements) 3. **Conclusion**: Since both rows have the same number of elements, we can conclude that the number of columns in the matrix is equal to the number of elements in one row, which is 6. Thus, the number of columns of the matrix is **6**. ### Final Answer: The number of columns of the matrix is **6**. ---
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