A and B are two matrices such that the order of A is 3×4, if A^(′) B and BA^(′) are both defined, then

Correct answer: (B) order of B^(′) A is 4×4. Let, order of B is m×n ∵A^(′) B is defined so m=3 ∴BA^(′) is defined so n=4 ⇒ order of B is 3×4 ∴ order of B^(′) A is 4×4

Q10 / 75 · NTA Abhyas (JEE Main) 2020 · Mathematics · Matrices

$A$ and $B$ are two matrices such that the order of $A$ is $3 \times 4$ , if $A^{'} B$ and $B A^{'}$ are both defined, then

A
order of $B^{'}$ is $3 \times 4$
Correct answer
B
order of $B^{'} A$ is $4 \times 4$
C
order of $B^{'} A$ is $3 \times 3$
D
$B^{'} A$ is not defined

Solution

Let, order of

B

m \times n

∵ A^{'} B

is defined so

m = 3

∴ B A^{'}

is defined so

n = 4

\Rightarrow

order of

B

3 \times 4

∴

order of

B^{'} A

4 \times 4

Hence, the correct answer is option: 'B'.

A and B are two matrices such that the order of A is 3×4, if A ′ B and B A ′ are both defined, then

Solution

More Matrices Questions

$A$ and $B$ are two matrices such that the order of $A$ is $3 \times 4$ , if $A^{'} B$ and $B A^{'}$ are both defined, then