Mathematics - Vectors and Matrices
then top row of R-1 is
[5 -3 1]57. Sum of the eigen values of the matrix
is
- Option : B
- Explanation : Sum of eigen values of given matrix is
= summation of element of diagonal of given matrix
=1 + 5 + 1
= 7
58. For which value of x, will the matrix
become singular
8 [0 - 12] - x [0 - 2x12] = 0
60. Eigen vectors of the matrix
is (are)
- Option : D
- Explanation : Eigen value are roots of the equation
i.e. (1 - a)2 - 1 = 0
a2 - 2a = 0
a = 0 or a = 2
when a = 0
this gives x = y
when a = 2,
This gives x = -y
Hence, eigen vectors corresponding to 0 and 2 are
*/?>
*/?>
*/?>
*/?>