A matrix has $16$ elements. Which of the following can be the order of the matrix?

1 \times 16

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2 \times 8

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4 \times 4

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All of these

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Solution

The correct option is D All of these
A matrix of $m$ rows and $n$ columns has $m \times n$ elements.
On multiplying the rows and columns in the given options, we notice that all $1 \times 16 = 16, 2 \times 8 = 16, 4 \times 4 = 16$

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Similar questions

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.

Q. If

Δ = ∣ ∣ ∣ ∣ \begin{matrix} 120 \end{matrix} \begin{matrix} 3 - 1 4 \end{matrix} \begin{matrix} 112 \end{matrix} ∣ ∣ ∣ ∣

, the value of

∣ ∣ ∣ ∣ \begin{matrix} 480 \end{matrix} \begin{matrix} 12 - 4 16 \end{matrix} \begin{matrix} 448 \end{matrix} ∣ ∣ ∣ ∣

Fill in the blank

\begin{matrix} 24 & 6 & 8 12 & 4 & . . . . 16 & 2 & 16 \end{matrix}

Q. If a matrix

P

has

8

elements, then how many different values the order of the matrix can take?

Fill in the blank

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

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A matrix has 16 elements. Which of the following can be the order of the matrix?

The correct option is D All of theseA matrix of m rows and n columns has m×n elements. On multiplying the rows and columns in the given options, we notice that all 1×16=16,2×8=16,4×4=16

A matrix has $16$ elements. Which of the following can be the order of the matrix?

The correct option is D All of these
A matrix of $m$ rows and $n$ columns has $m \times n$ elements.
On multiplying the rows and columns in the given options, we notice that all $1 \times 16 = 16, 2 \times 8 = 16, 4 \times 4 = 16$