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Engineering Mathematics: Nuclear Quiz 1

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Question 1

Find the rank of matrix

Question 2

A matrix has eigen values are –2 and +2 and corresponding eigen vector are  and  then the matrix is

Question 3

If for the given equations x + 2y – 3y = 1, (K + 2)z = 3, (2K + 1)y + 3 = 2 are inconsistent then the value of K is

Question 4

 is equal to

Question 5

The value of x for which the function is NOT continuous are

Question 6

If f(1) = 1, f’(1) = 2, then

is ____.

Question 7

Given a function

The optimal value of f(x, y)

Question 8

The unit normal to the surface  at the point (2, 1, – 1) is

Question 9

If u = log (x3 + y3 + z3 – 3xyz), the value of

Question 10

The vector field (where and are unit vector) is
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May 13ESE & GATE CE