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GATE CS 2022 : Engineering Mathematics -4

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Question 1

If then the sum of eigen values of A³ is _____ .

Question 2

Eigen value of inverse of matrix A is

Question 3

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

Question 4

Find an eigen vector corresponding to largest eigen value of given matrix

Question 5

Consider the following system of linear equation:

X+ Y+ Z= 10

The no of independent Eigen vector corresponding to the Eigen value 0 is__________.

Question 6

If a,b,c and d satisfy the equations

a+7b+3c+5d=16

8a+4b+6c+2d=−16

2a+6b+4c+8d=16

5a+3b+7c+d=−16

Then (a+d)(b+c) equals _________

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GATE & PSU CS Engineering Mathematics

Dec 28GATE & PSU CS