Class CBSE Class 12 Mathematics Matrices and Determinants Q #746
KNOWLEDGE BASED
REMEMBER
1 Marks 2024 MCQ SINGLE
If a matrix has 36 elements, the number of possible orders it can have, is:
(A) 13
(B) 3
(C) 5
(D) 9
Prev Next
Correct Answer: D

AI Tutor Explanation

Powered by Gemini

Step-by-Step Solution

A matrix of order m x n has m*n elements.

We need to find the number of possible pairs (m, n) such that m*n = 36.

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.

The possible orders are:

  • 1 x 36
  • 2 x 18
  • 3 x 12
  • 4 x 9
  • 6 x 6
  • 9 x 4
  • 12 x 3
  • 18 x 2
  • 36 x 1

There are 9 possible orders.

Correct Answer: 9

AI Suggestion: Option D

AI generated content. Review strictly for academic accuracy.

Pedagogical Audit
Bloom's Analysis: This is an REMEMBER question because it requires recalling the relationship between the number of elements in a matrix and its possible orders.
Knowledge Dimension: FACTUAL
Justification: The question directly tests the knowledge of how matrix dimensions relate to the total number of elements. It involves recalling the definition of matrix order and its connection to the number of elements.
Syllabus Audit: In the context of CBSE Class 12, this is classified as KNOWLEDGE. The question is directly based on textbook knowledge and definitions related to matrices.

More from this Chapter

MCQ_SINGLE
If \(\begin{bmatrix}2x-1&3x\\ 0&y^{2}-1\end{bmatrix}=\begin{bmatrix}x+3&12\\ 0&35\end{bmatrix},\) then the value of \((x-y)\) is :
MCQ_SINGLE
What is the total number of possible matrices of order \(3\times3\) with each entry as \(\sqrt{2}\) or \(\sqrt{3}\)?
MCQ_SINGLE
For what value of $x\in[0,\frac{\pi}{2}]$, is $A+A'=\sqrt{3}I$, where $A=\begin{bmatrix}\cos x & \sin x\\ -\sin x & \cos x\end{bmatrix}$ ?
MCQ_SINGLE
If \(A=\begin{bmatrix}2&0&0\\ 0&3&0\\ 0&0&5\end{bmatrix},\) then \(A^{-1}\) is:
MCQ_SINGLE
If \(A=\begin{bmatrix}1&12&4y\\ 6x&5&2x\\ 8x&4&6\end{bmatrix}\) is a symmetric matrix, then \((2x+y)\) is
View All Questions