Eigen values and Eigen vectors

Every square matrix satisfies it's own ----

• Equation

• Polynomial

• Characteristic equation

• Combination

What is the trace of A= [ 2 3 6 ; -9 0 8 ; 6 2 3]

• 5

• 4

• -4

• -5

The eigen vectors corresponding to the distinct eigen values of a real symmetric matrix are __________

• Pairwise Orthogonal

• Linearly Dependent

• Unit Normal Vectors

If anyone of the eigen value of the given real symmetric matrix is zero, then the matrix is __________

• Singular

• Nonsingular

• Zero

If the Eigen values are 0,1,2 then nature is

• Positive definite

• Semi positive definite

• Negative definite

• Indefinite

If the Eigen values of A are 3,4,5 then Eigen values of square of A

• 16,25,9

• 9,16,25

• 1/3,1/4,1/5

• 25,16,9

If the Eigen values are 2,4 then det

• 8

• 6

• 4

• -6

The other name of characteristic roots

• Eigen value

• Eigen vector

• Root

• Zero

If the Eigen values are -2,0 then nature of quadratic form is

• Positive

• Semi positive

• Negative

• Semi negative

Homogeneous function is a polynomial of degree

• 2

• 1

• 3

• 4