SOLUTION: if A is the n*n matrix whose elements are all "a" and whose off diagonal elements are all "b" where a and b are any two real numbers, find the value of |A|

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Question 1180576: if A is the n*n matrix whose elements are all "a" and whose off diagonal elements are all "b" where a and b are any two real numbers, find the value of |A|
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
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if A is the n*n matrix whose highlight%28diagonal%29 elements are all "a"
and whose off diagonal elements are all "b" where a and b are any two real numbers, find the value of |A|
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            Pay attention on how I edited your post in order for the problem would make sense.


Determinant | A | is equal to


    | A | = +%28+a+%2B+%28n-1%29b+%29+%2A+%28a-b%29%5E%28n-1%29.      ANSWER


Which problem book or textbook do you use in your study of Algebra / linear algebra / (determinants) ?