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Let A be a matrix of order 3 × 4. If R1 denotes the first row of A and C2 denotes its second column, then determine the orders of matrices R1 and C2.
Let A be a matrix of order 3 × 4. If R1 denotes the first row of A and C2 denotes its second column, then determine the orders of matrices R1 and C2.
Algebra of Matrices | CBSE | Class 12 | Exercise 5.1 | Maths | RD Sharma
Let A be a matrix of order 3 × 4. If R1 denotes the first row of A and C2 denotes its second column, then determine the orders of matrices R1 and C2.

Given A be a matrix of order \[3\text{ }\times \text{ }4\]

So, \[A\text{ }=\text{ }[{{a}_{i\text{ }j}}]{{~}_{3\times 4}}\]

\[{{R}_{1}}~=\text{ }first\text{ }row\text{ }of\text{ }A\text{ }=\text{ }[{{a}_{11}},\text{ }{{a}_{12}},\text{ }{{a}_{13}},\text{ }{{a}_{14}}]\]

So, order of matrix \[{{R}_{1}}~=\text{ }1\text{ }\times \text{ }4\]

\[{{C}_{2}}~=\text{ }second\text{ }column\text{ }of\]

RD Sharma Solutions for Class 12 Maths Chapter 5 Image 4

Therefore order of \[{{C}_{2}}~=\text{ }3\text{ }\times \text{ }1\]

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