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If A is a 3×4 matrix and B is matrix such that $A^{T} B$ and ${BA}^{T}$ are both defined then order of B is

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3 × 4

4 × 3

3 × 3

4 × 4

answer is A.

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Detailed Solution

$A_{3 \times 4}, \Rightarrow {A^{T}}_{4 \times 3}$

If B is 3 $\times$ 4 order then only $A^{T} B$ and ${BA}^{T}$ are both will defined.

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