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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]](https://entrancecorner.oncodecogs.com/gif.latex?A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Brrr%7D%202%20%26%203%20%26%20-1%20%5C%5C%201%20%26%204%20%26%202%20%5Cend%7Barray%7D%5Cright%5D%20%5Ctext%20%7B%20and%20%7D%20B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bll%7D%202%20%26%203%20%5C%5C%204%20%26%205%20%5C%5C%202%20%26%201%20%5Cend%7Barray%7D%5Cright%5D)
then AB and BA are defined and equal.
If
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
View full answer
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