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Question
If A = `[(7,1), (2,5)]` and B = `[(1,2), (3,-1)]` then verify that |AB| = |A| |B|.
Solution
A = `[(7,1), (2,5)]` and B = `[(1,2), (3,-1)]`
AB = `[(7,1), (2,5)]` `[(1,2), (3,-1)]`
= `[(10,13), (17,-1)]`
|AB| = `|(10,13), (17,-1)|` = -10 - 221 = -231
Now, |A| = `|(7,1), (2,5)|` = 35 - 2 = 33
and |B| = `|(1,2), (3,-1)|` = -1 - 6 = -7
|A| |B| = 33 x -7 = -231
|AB| = |A| |B|
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