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ESE 2020: Engg. Mathematics Quiz 1
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Question 1
The eigen values of the matrix
Question 2
In matrix equation [A] {X} = {R}.
and
One of the eigenvalues of matrix [A] is
Question 3
Given a 2 × 2 real matrix A with Eigen values i and –i. Then A cannot be
Question 4
The Eigen values of the matrix are
Question 5
The following system of homogeneous equations
2x + y + 2z = 0
x + y + 3z = 0
4x + 3y + bz = 0
has non-trivial solution, then the value of ‘b’ is __.
2x + y + 2z = 0
x + y + 3z = 0
4x + 3y + bz = 0
has non-trivial solution, then the value of ‘b’ is __.
Question 6
The value of a for which the following system has infinite solutions
Question 7
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
Question 8
Let the Eigen vector of the matrix be written in the form and. What is the value of (a+b) ?
Question 9
Consider the following equations
3x – y – z + 2w = 0
3x + y – z – 2w = 0
12x + 3y – 4z – 6w = 0
The system of equations will be
3x – y – z + 2w = 0
3x + y – z – 2w = 0
12x + 3y – 4z – 6w = 0
The system of equations will be
Question 10
Consider the following system of equations in three real variables x1, x2 and x3
The system of equations has:
The system of equations has:
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Feb 24ESE & GATE CE