0 votes 0 votes Let A be the 2 × 2 matrix with elements a11 = a12 = a21 = +1 and a22 = −1. Then the eigenvalues of the matrix A19 are (a) 1024 and−1024 (b) 1024√2 and −1024√2 (c) 4√2 and−4√2 (d) 512√2 and−512√2 Linear Algebra linear-algebra + – suneetha asked Jul 2, 2018 recategorized Sep 30, 2018 by Mk Utkarsh suneetha 9.8k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 1 votes 1 votes Option d is right. abhishekmehta4u answered Jul 2, 2018 selected Sep 30, 2018 by Mk Utkarsh abhishekmehta4u comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes eigen values of matrix 1 1 1 -1 are √2 and -√2 now characterstic equation of A^19 is λ^19 ....put λ=+√2 and - √2 you will get (d) as the answer Navneet Kalra answered Jul 2, 2018 edited Jul 2, 2018 by Navneet Kalra Navneet Kalra comment Share Follow See all 2 Comments See all 2 2 Comments reply suneetha commented Jul 2, 2018 reply Follow Share but according to the given prb the matrix is like 1 1 1 -1 0 votes 0 votes Navneet Kalra commented Jul 2, 2018 reply Follow Share i have corrected that please see 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes Answer is D) Prince Sindhiya answered Jul 3, 2018 Prince Sindhiya comment Share Follow See all 0 reply Please log in or register to add a comment.