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GATE CS 2021 : Engineering mathematics Revision Quiz 10 (App update required to attempt this test)

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Question 1

Which of the following is a scalar matrix?

Question 2

The following system of equations
x₁ + x₂ + 2x₃ = 1
x₁ + 2x₂ + 3x₃ = 2
x₁ + 4x₂ + αx₃ = 4
has a unique solution. The only possible value(s) for α is/are

Question 3

A 3 × 3 matrix has 3 eigenvalues –1, 0.5, 3. What will be the eigen values of

Question 4

Eigen values of the matrix A =

are

Question 5

Consider the function

Find the

at which the absolute minimum value of

can be obtained.

Question 6

Consider the following table to find the integral between x = 1.0 and 1.8

Simpson’s 1/3 rule with find integral between and (upto 4 decimal digits) Using

Question 7

then a + b = _____.

Question 8

Consider the following functions.
(i)

(ii)

(iii)

Which of the above functions are not having an absolute minimum but have absolute maximum.

Question 9

A purchaser of electrical components buys them in lots of size 10. It is his policy to inspect3 components randomlyfrom a lot and to accept the lot only if at most 1 component is defective. If 30 percent of the lots have 4 defective components each and rest of the lots have 1 each, what proportion of the lots does the purchaserreject?

Question 10

A fair dice is tossed eight times. Probability that on the eighth throw a third six is observed, is

Question 11

The probability that January of a leap year should have 5 Sundays is

Question 12

What is the probability that divisor of 10⁹⁹ is a multiple of 10⁹⁶?

Question 13

then the sum of eigen values of A³ is _____ .

Question 14

Let

and

be two matrices.
Then the rank of P + Q is ____.

Question 15

A 3 X 3 matrix M has two linearly independent eigenvectors corresponding to eigen value ‘4’ and one eigen vector corresponding to eigen value ‘–1’. What is the value of determinant of M?

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GATE & PSU CS Engineering Mathematics

Jun 16GATE & PSU CS