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MATRICES — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMATRICES1 Mark
Question
 

If $\text{AB}=\text{A}$ and $\text{BA = B}$ then $\text{B}^2 $ is equal to:

  1. $\text{B}$

  2. $\text{A}$

  3. $\text{-B}$

  4. $\text{B}^2$

✓

Answer

  1. $\text{B}$

Solution:

 

We have, $\text{AB}=\text{A}$and $\text{BA = B}$

Since, $\text{B}^2=\text{B.B}$

$\text{B}^2=\text{(BA)}.\text{B}$

$\text{B}^2=\text{B}.\text{(AB)}$

$\text{B}^2=\text{B.A}$

$\text{B}^2=\text{B}$

Hence, this is the answer.

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