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GATE 2019: Engineering Mathematics Quiz 1
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Question 1
The matrix 
is decomposed into a product of a lower triangular matrix [L] and an upper triangular matrix [U]. The properly decomposed [L] and [U] matrices respectively are
is decomposed into a product of a lower triangular matrix [L] and an upper triangular matrix [U]. The properly decomposed [L] and [U] matrices respectively are Question 2
The eigen values of the matrix given below are
Question 3
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
If I denote identity matrix, then the inverse of matrix P will be
Question 4
A matrix has eigenvalues ‒ 1 and ‒ 2. The corresponding elgenvectors are 
and 
respectively. The matrix is
and respectively. The matrix is Question 5
Let x and y be integers satisfying the following equations
The value of (x+y) is ________.
The value of (x+y) is ________.
Question 6
Consider the following equations
x + y + w = 0
y + z = 0
x + y + z + w = 0
x + y + 2z = 0
The system of equations will be
x + y + w = 0
y + z = 0
x + y + z + w = 0
x + y + 2z = 0
The system of equations will be
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Sep 16ESE & GATE EE
