Matrix

What are the dimensions (order) of this matrix?

Find B-2A

​ (a)   ​ (b)  

​ (c)   ​ (d)  

​

• 2
• -5
• -13
• 1
• 4
• -1
• 0
• -6
• -10
• -4

Sum of the Eigen values of a matrix is equal to ----- of the matrix

• determinant

• product

• trace

• sum

Eigen values of the matrix [ 1 1 1 ; 1 1 1 ; 1 1 1 ] are

• 0, 0, 0

• 0, 0, 3

• 1, 1, 1

• 0, 0, 1

If the Eigen values of 3 x 3 matrix are 1, 2, 6 , then Eigen values of inverse of the matrix are

• 1, 2, 36

• 1, 2, 6

• 1, 1/2, 1/6

• None of these

• 4, -9, 16

• 4, 9, 16

• 2, -3, 4

• None of the above

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

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

• Positive definite

• Semi positive definite

• Negative definite

• Indefinite

The other name of characteristic roots

• Eigen value

• Eigen vector

• Root

• Zero