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Gate 2019: Engineering Mathematics Quiz 1

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Question 1

The value of x for which the matrix A =has zero as an eigenvalue is_____.

Question 2

The eigen values of a skew-symmetric matrix are

Question 3

Let x denote a real number. Find out the INCORRECT statement.

Question 4

Let A be an m × n matric and B an n × m matric. It is given that determinant determinant where is the k × k identity matrix. Using the above property, the determinant of the matrix given below is

Question 5

Consider a system of linear equations:
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-1_files\image001.png
The value of k for which the system has infinitely many solution is ____________.

Question 6

The maximum value of the determinant among all 2×2 real symmetric matrices with trace 14 is ________.
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Aug 11ESE & GATE EC