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|

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(52776) (Show Source): You can put this solution on YOUR website!
.
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|
~~~~~~~~~~~~~~~~~~~~

Pay attention on how I edited your post in order for the problem would make sense.

Determinant | A | is equal to


    | A | = .      ANSWER

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

RELATED QUESTIONS
Let n ∈ N and B be a n × n matrix that has determinant 1. Show that there exist n × n (answered by robertb)

List all elements of the set A ∩ B, where A = {n ∈ N | n = 2^n − 1} and (answered by richard1234)

If A is skew-symmetric matrix,show that the elements in the main diagonal are all... (answered by robertb)

a.If A has six elements and B has eight elements, how many elements are in A x B? b. If... (answered by jim_thompson5910)

If M is the set of all square of integers that are less than 100 and N is the set of all... (answered by ikleyn)

The set A union B has 26 elements. Set A contains 15 elements, and set B contains 17... (answered by stanbon)

Suppose Set B contains 61 elements and the total number elements in either Set A or Set B (answered by stanbon,ikleyn,Theo)

Suppose Set A contains 60 elements and the total number elements in either Set A or Set B (answered by ikleyn)

A and B are subsets of universal set U. If n(U)=28, n(A)=11, n(B′)=19, and... (answered by solver91311)