if A and B are orthogonal matrices of same order such that det(A)+det(B)=0, find det(A+B).

Asked by Sheetal M G | 25th Mar, 2013, 07:15: PM

Expert Answer:

Since, for the orthogonal matrices, the value of the determinant is either equal to 1 or -1. 
And since, here det(A) + det(B) = 0, hence we can assume that det(A) = 1 and then, det(B) = -1. 
 
Now assuming 2 examples of orthogonal 2 x2 matrices

Answered by  | 26th Mar, 2013, 03:30: AM

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