If A and B are two matrices of the order 3 and 3 n , respectively and m = n , then order of matrix (5A - 2B) is

A 3 m and B 3 n are two matrices. If m = n , then A and B have same orders as 3 n each, so the order of (5A - 2B) should be same as 3 n .

Matrices — Class 12 Maths Solution

exemplar objective MCQ NCERT,Exemp,Q.no.57,Page 60

Question

If A and B are two matrices of the order $3 \times {\rm{m}}$ and $3 \times n$, respectively and $m = n$, then order of matrix $(5A - 2B)$ is

(a) $m \times 3$
(b) $3 \times 3$
(c) $m \times n$
(d) $3 \times n$ ✓ Correct

Step-by-step Solution

${A_{3 \times m}}$ and ${B_{3 \times n}}$ are two matrices. If $m = n$, then A and B have same orders as $3 \times n$ each, so the order of $(5A - 2B)$ should be same as $3 \times n$.

← All Matrices solutions Practice tests →

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Matrices. Curated by Sachin Sharma. Free for all students.