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GATE : Engineering Mathematics Champion Quiz 2

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Question 1

The matrix

has one eigen value equal to 3. The sum of the other two eigenvalues is

Question 2

The eigen values of a skew-symmetric matrix are

Question 3

For the matrix $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME-28-Mar\GATE-ME-2003_files\image012.png$ the eigen values are

Question 4

One of the eigenvectors of the matrix $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-ME-2014-Set-2_files\image012.png$ is

Question 5

Consider the following matrix

If the eigenvalues of A are 4 and 8, then

Question 6

How many of the following matrices have an eigen value 1?

Question 7

The eigenvectors of the matrix

are written in the form

and

. What is a + b?

Question 8

The eigen values of the following matrix are

Question 9

Consider the matrix as given below.

Which one of the following options provides the CORRECT values of the eigenvalues of the matrix?

Question 10

Let A be a 4 × 4 matrix with eigenvalues -5, -2, 1, 4. Which of the following is an eigen value of where I is the 4 × 4 identity matrix?

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Feb 18ESE & GATE ME