Plewse explain this also. here if lambda 1 is negative then is it necessary that its value be -1.if yes then why

okay, so your doubt is about lambda 1, right? now listen, as the given matrix is orthogonal matrix, it's Eigen values would have modulus equal to one. two Eigen values lambda2 and ...

hope you are getting...

in the question, lamda1=-1. now you have to find lamda2,3.. also determinant and trace is given that is -1 and 2/3.. use you can make 2equation - first trace-(lamda1)=lamda2+lamd...

dear,note product of eigen values is equal to determinant of the matrix and sum of eigen values is equal to trace of matrix... for if you have given one eigen values,then using the...

dear, determinant is defined as the product of the alll the eigen values.........and trace is the sum of all the eigen values of the matrix. since we find out the product of the re...