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find the order of the given matrix. \\\\begin{bmatrix} 6 & 6 & 6 \\\\ 6…

Question

find the order of the given matrix.
\\\

$$\begin{bmatrix} 6 & 6 & 6 \\\\ 6 & 6 & 6 \\\\ 6 & 6 & 6 \\end{bmatrix}$$

\\

\\(1 \times 3\\)

\\(3 \times 3\\)

Explanation:

Identify the matrix structure

Using the Matrix Dimensions knowledge point

$$ A = LATEXBLOCK0 $$

Count the horizontal rows

Using the Matrix Dimensions knowledge point

$$ \text{Rows} = 3 $$

Count the vertical columns

Using the Matrix Dimensions knowledge point

$$ \text{Columns} = 3 $$

Determine the matrix order

Using the Matrix Dimensions knowledge point

$$ \text{Order} = \text{Rows} \times \text{Columns} = 3 \times 3 $$

Answer:

  • (A) \(1 \times 3\)
  • (B) \(3 \times 3\) (Correct answer)