If the order of a matrix is 20- 5- then the number of elements in the matrix is

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Standard XII

Mathematics

Matrix Definition and Representation

If the order ...

Question

If the order of a matrix is $20 \times 5$ , then the number of elements in the matrix is _____

5

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20

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50

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100

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Solution

The correct option is B $100$
As the matrix has $20$ rows and $5$ columns, the number of elements in the matrix is $20 \times 5 = 100$

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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.

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Q. If the number of elements in a matrix is

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In the matrix, write :
$A = ⎡ ⎢ ⎢ ⎣ \begin{matrix} 235 \sqrt{3} \end{matrix} \begin{matrix} 5 - 2 1 \end{matrix} \begin{matrix} 19 \frac{5}{2} - 5 \end{matrix} \begin{matrix} - 7 1217 \end{matrix} ⎤ ⎥ ⎥ ⎦$

(i) The order of the matrix
(ii) The number of elements
(iii) Write the elements $a_{13}, a_{21}, a_{33}, a_{24}, a_{23}$

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If the order of a matrix is 20×5, then the number of elements in the matrix is _____

The correct option is B 100As the matrix has 20 rows and 5 columns, the number of elements in the matrix is 20×5=100

If the order of a matrix is $20 \times 5$ , then the number of elements in the matrix is _____

The correct option is B $100$
As the matrix has $20$ rows and $5$ columns, the number of elements in the matrix is $20 \times 5 = 100$