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  • Which of the following statements are True or False If A = [2 3 -1] and B= [2 3] then AB and BA are defined and equal.

Which of the following statements are True or False

If A=\left[\begin{array}{rrr} 2 & 3 & -1 \\ 1 & 4 & 2 \end{array}\right] \text { and } B=\left[\begin{array}{ll} 2 & 3 \\ 4 & 5 \\ 2 & 1 \end{array}\right] then AB and BA are defined and equal.

Answers (1)

False

Here A has an order (2×3) and B has an order (3×2),

Hence AB is defined and will give an output matrix of order (2×2)

And BA is also defined but will give an output matrix of order (3×3).

⇒ AB ≠ BA

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infoexpert22

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