0 votes 0 votes Linear Algebra matr matrix + – Parshu gate asked Dec 3, 2017 Parshu gate 558 views answer comment Share Follow See all 3 Comments See all 3 3 Comments reply Rishabh Jain 1 commented Dec 3, 2017 reply Follow Share C1 <- C1 - 2*C6 C2 <- C2 - 2*C5 C3 <- C3 - 2*C4 you'll get upper triangular matrix with diagonal elements as -3,-3,-3,1,1,1, which will also be eigen values for this matrix and product of eigen values is |A| which will be -27. Correct? 4 votes 4 votes joshi_nitish commented Dec 3, 2017 reply Follow Share correct 0 votes 0 votes Kiran Karwa commented Jan 28, 2018 reply Follow Share if the sum of every row is same as k then one of the eigen values of the matrix should be k. Here k is 3. so 3 shld be an eigen value but through column transformations we dont get it. Can anyone explain why so? 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes B is right answer. hem chandra joshi answered Dec 8, 2017 hem chandra joshi comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes $A$ is similar to the direct sum $B \oplus B \oplus B$ where $B$ is the inner $2 \times 2$ matrix with $1'$s on the diagonal and $2'$s on the other diagonal, so $det(A)= (det(B))^3=(-3)^3=-27.$ R. Chinnapparaj answered Jan 25, 2018 R. Chinnapparaj comment Share Follow See all 0 reply Please log in or register to add a comment.