Class CBSE Class 12 Mathematics Matrices and Determinants Q #1491
KNOWLEDGE BASED
REMEMBER
1 Marks 2026 AISSCE(Board Exam)65/1/1 MCQ SINGLE
Which of the following cannot be the order of a row-matrix ?
(A) $2 \times 1$
(B) $1 \times 2$
(C) $1 \times 1$
(D) $1 \times n$
Correct Answer: A

AI Tutor Explanation

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Detailed Solution

Step 1: Understanding Row Matrix

A row matrix is a matrix with only one row. The order of a matrix is given as (number of rows) x (number of columns).

Step 2: Analyzing the Options

We need to identify which of the given options cannot represent the order of a row matrix.

Step 3: Evaluating Option A

Option (A) $2 \times 1$ represents a matrix with 2 rows and 1 column. This is a column matrix, not a row matrix.

Step 4: Evaluating Option B

Option (B) $1 \times 2$ represents a matrix with 1 row and 2 columns. This is a row matrix.

Step 5: Evaluating Option C

Option (C) $1 \times 1$ represents a matrix with 1 row and 1 column. This is a row matrix.

Step 6: Evaluating Option D

Option (D) $1 \times n$ represents a matrix with 1 row and $n$ columns, where $n$ is any positive integer. This is a row matrix.

Step 7: Identifying the Incorrect Option

From the above analysis, only option (A) $2 \times 1$ does not represent a row matrix.

Final Answer: $2 \times 1$

AI Suggestion: Option A

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Pedagogical Audit
Bloom's Analysis: This is an REMEMBER question because it requires recalling the definition of a row matrix.
Knowledge Dimension: CONCEPTUAL
Justification: The question tests the understanding of the concept of a row matrix and its order.
Syllabus Audit: In the context of CBSE Class 12, this is classified as KNOWLEDGE. It directly relates to the definition and identification of types of matrices.
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