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Question

Mathematics Question on Matrices

If A = [21\[0.3em]14\[0.3em]16\[0.3em]07]\begin{bmatrix} 2 & 1 \\\[0.3em] 1 & 4 \\\[0.3em] -1 & 6 \\\[0.3em] 0&7 \end{bmatrix} and B= [1230\[0.3em]2167]\begin{bmatrix} 1 & 2&3&0 \\\[0.3em] 2 & -1 & 6&7\end{bmatrix} then

A

only AB is defined

B

only BA is defined.

C

AB and BA both are defined.

D

Neither AB nor BA is defined.

Answer

AB and BA both are defined.

Explanation

Solution

The correct option is(C):AB and BA both are defined.