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GATE EE 2018 - Engineering Mathematics Daily Quiz- 1 (Linear Algebra)
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Question 1
The determinant of the matrix is:
Question 2
If the sum of the diagonal elements of a 2 × 2 matrix is –6, then the maximum possible value of determinant of the matrix is ______
Question 3
In the matrix equation Px = q, which of the following is necessary for system to be consistent ?
Question 4
A system matrix is given as follows.
The absolute value of the ratio of the maximum eigenvalue to the minimum eigenvalue is _______
The absolute value of the ratio of the maximum eigenvalue to the minimum eigenvalue is _______
Question 5
Let P be a 2 × 2 real orthogonal matrix and is a real vector [x1, x2]T with length ||| =. Then, which one of the following statements is correct?
Question 6
Given a system of equations:
x + 2y + 2z = b1
5x + y + 3z = b2
Which of the following is true regarding its solutions
x + 2y + 2z = b1
5x + y + 3z = b2
Which of the following is true regarding its solutions
Question 7
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
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Jun 23ESE & GATE EE