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GATE EE 2018 - Engineering Mathematics Daily Quiz- 1 (Linear Algebra)

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Question 1

The determinant of the matrix $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-EE-ME-19-Mar\GATE-EE-2002_files\image054.png$ is:

Question 2

If the sum of the diagonal elements of a 2 × 2 matrix is –6, then the maximum possible value of determinant of the matrix is ______

Question 3

In the matrix equation Px = q, which of the following is necessary for system to be consistent ?

Question 4

A system matrix is given as follows.

The absolute value of the ratio of the maximum eigenvalue to the minimum eigenvalue is _______

Question 5

Let P be a 2 × 2 real orthogonal matrix and

is a real vector [x₁, x₂]^T with length ||

| =

. Then, which one of the following statements is correct?

Question 6

Given a system of equations:
x + 2y + 2z = b₁
5x + y + 3z = b₂
Which of the following is true regarding its solutions

Question 7

The characteristic equation of a (3 × 3) matrix P is defined as a (l) = | lI – P | = l³ + l² + 2l + 1 = 0.
If I denote identity matrix, then the inverse of matrix P will be

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ESE & GATE EE Engineering Mathematics

Jun 23ESE & GATE EE