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Matrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMatrices1 Mark
MCQ
If a matrix has $13$ elements, then the possible dimensions $($orders$)$ of the matrix are:
  • ✓
    $1\times13$ or $13\times1$
  • B
    $1\times26$ or $26\times1$
  • C
    $2\times13$ or $13\times2$
  • D
    $13\times13$
✓

Answer

Correct option: A.
$1\times13$ or $13\times1$
If order of matrix $\text{A}=\text{a}\times\text{b}$
Then number of element in $\text{A}=\text{ab}$
Given $\text{ab}=13$
So, $\text{a}=1,\text{b}=13$
or $\text{b}=1,\text{a}=13$
So, $1\times13$ or $13\times1$ are possible order of $\text{A}$

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