Identify the matrix whose order is 4 - 3- 3 amp- 5 amp- 7- 4 amp- 6 amp-8- 2 amp- 4 amp- 6 - 1 amp-3 amp-1- 2 amp-1 amp-4 - 1 amp- 2 amp- 3- 4 amp-4 amp-1- 1 amp-2 amp-2- 1 amp- 0 amp- 4 - 1 amp- 3 amp- 5 amp-3- 4 amp- 6 amp- 8 amp- 5- 5 amp- 7 amp- 9 amp- 6 -

The correct option is C [ 1 amp; 2 amp; 3; 4 amp;4 amp;1; 1 amp;2 amp;2; 1 amp; 0 amp; 4 ] A matrix whose order is 4 × 3 has 4 rows and ...

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Standard X

Mathematics

Order of a Matrix

Identify the ...

Question

Identify the matrix whose order is $4 \times 3$

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

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$⎡ ⎢ ⎣ \begin{matrix} 3 & 5 & 7 4 & 6 & 8 2 & 4 & 6 \end{matrix} ⎤ ⎥ ⎦$

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$⎡ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 4 & 1 1 & 2 & 2 1 & 0 & 4 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎦$

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$[\begin{matrix} 1 & - 3 & 1 2 & 1 & 4 \end{matrix}]$

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Solution

The correct option is C
$⎡ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 4 & 1 1 & 2 & 2 1 & 0 & 4 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎦$

A matrix whose order is $4 \times 3$ has 4 rows and 3 columns.
Hence $⎡ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 4 & 1 1 & 2 & 2 1 & 0 & 4 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎦$ is of order $4 \times 3$ .

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Identify the matrix whose order is $4 \times 3$

Q. Identify the order of matrix

[\begin{matrix} 1 & 0 & - 4 2 & - 1 & 3 \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.

If A is a matrix of order 1×3 and B is a matrix of order 3×4, then order of the matrix obtained on multiplying A and B is

Q. The order of the matrix

[\begin{matrix} 1 & 2 3 & 4 \end{matrix}]

is:

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Identify the matrix whose order is 4×3

The correct option is C ⎡⎢ ⎢ ⎢⎣123441122104⎤⎥ ⎥ ⎥⎦ A matrix whose order is 4×3 has 4 rows and 3 columns. Hence ⎡⎢ ⎢ ⎢⎣123441122104⎤⎥ ⎥ ⎥⎦ is of order 4×3.

Identify the matrix whose order is $4 \times 3$