Test Index

CBSE Class 12 Math 2023 All Sets Solved Paper

© examsnet.com
Question : 15 of 20
Marks: +1, -0
If A is a 2×32 \times 3 matrix such that AB and AB' both are defined, then order of matrix B is
Solution:  
Let order of matrix B is m ×\times n.
AB and AB' both are defined.
⇒[A]2×3[B]m×n=[AB]2×n\Rightarrow [A]_{2 \times 3}[B]_{m \times n} = [AB]_{2 \times n} and m = 3
Similarly, [A]2×3[B′]n×m=[AB′]2×m[A]_{2 \times 3}[B']_{n \times m}=[AB']_{2 \times m} and n = 3
Therefore, the order of matrix B is 3 ×\times 3.
© examsnet.com
Go to Question:
Prev Question
Next Question