Q: Reduce the matrix A = ⎡1 3 4⎤ ⎢3 2 −1⎥ ⎣4 −1 1⎦ to the tridiagonal form.
(a)⎡ 1 −5 0 ⎤ ⎢ −5 2 1/5 ⎥ ⎣ 0 1/5 13/5⎦
(b)⎡ 1 0 −5 ⎤ ⎢ −5 2/5 −1/5 ⎥ ⎣ 0 −13/5 −1/5⎦
(c)⎡ 1 −5 0 ⎤ ⎢ −5 −2 −13/5 ⎥ ⎣ 0 1/5 1/5⎦
(d)⎡ 1 −5 0 ⎤ ⎢ −5 −2 1/5 ⎥ ⎣ 0 13/5 1/5⎦
Correct Answer: (a)
The correct answer is (b) '⎡ 1 0 −5 ⎤ ⎢ −5 2/5 −1/5 ⎥ ⎣ 0 −13/5 −1/5⎦'. This question from the General Studies domain tests knowledge of Miscellaneous.