If the matrix is a square matrix and it contains $36$ elements, then the order of the matrix is

4 \times 4

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8 \times 8

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6 \times 6

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3 \times 3

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Solution

The correct option is C $6 \times 6$
The number of elements in a matrix are equal to the product of number of rows and columns.
As the matrix is a square matrix so that if matrix has $36$ elements then the order of the matrix is $6 \times 6.$
Hence, the answer is $6 \times 6.$

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Similar questions

\begin{matrix} 4 & 6 & (25) 3 & 9 & (36) 8 & 6 & (. . . .) \end{matrix}

Identify the correct statements:

(i) A matrix with 3 columns and 2 rows is of order $3 \times 2$ .
(ii) A matrix with 5 columns and 8 rows is of order $8 \times 5$
(iii) If the order of a matrix is $4 \times 3$ , then it has 12 elements.
(iv) If the order of a matrix is $5 \times 3$ , then it has 10 elements.

Fill in the blank

\begin{matrix} 1 & 2 & 4 & 6 1 & 4 & 16 & 36 3 & 5 & 7 & 8 8 & 24 & . . . . & 63 \end{matrix}

Q. Consider the matrix

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 4 & 3 7 & 6 & 9 2 & 5 & 8 \end{matrix} ⎤ ⎥ ⎦ .

Then cofactor of element

9

in matrix

A

is

[2 marks]

If A is a square matrix $⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$ then $A + A^{T}$ is a symmetric matrix.

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If the matrix is a square matrix and it contains 36 elements, then the order of the matrix is

The correct option is C 6×6The number of elements in a matrix are equal to the product of number of rows and columns.As the matrix is a square matrix so that if matrix has 36 elements then the order of the matrix is 6×6.Hence, the answer is 6×6.

If the matrix is a square matrix and it contains $36$ elements, then the order of the matrix is

The correct option is C $6 \times 6$
The number of elements in a matrix are equal to the product of number of rows and columns.
As the matrix is a square matrix so that if matrix has $36$ elements then the order of the matrix is $6 \times 6.$
Hence, the answer is $6 \times 6.$