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Engineering Mathematics
Linear Algebra Multiple Choice
Quiz 1
Solution
Q.1.
The solution of the given matrix equation is _____
a) x1 = 1, x2 = 1, x3 = 2
b) x1 = 0, x2 = 0, x3 = 0
c) x1 = 3, x2 = -1, x3 = -1
d) x1 = 0, x2 = -2, x3 = 4
Q.2.
Which one of the following is not a criterion for linearity of an equation?
a) The dependent variable y should be of second order
b) The derivatives of the dependent variable should be of second order
c) Each coefficient does not depend on the independent variable
d) Each coefficient depends only on the independent variable
Q.3.
Which among the following does not belong to main types of integrals?
a) Indefinite Integral
b) Proper Definite Integral
c) Improper Definite Integral
d) Real Integral
Q.4.
Which of the following is true for matrices?
a) (AB)-1 = B-1A-1
b) (AT) = A
c) AB = BA
d) A*I = I
Q.5.
Euler’s integral of the first kind, which is a proper integral, is used to define the gamma function.
a) True
b) False
Q.6.
The determinant of the matrix whose eigen values are9 is given by ________
a) 7
b) 63
c) 9
d) 17
Q.7.
Find the values of x and y in the matrix below if the matrix is a skew symmetric matrix.
a) x = -6, y = 3
b) x = 3, y = 3
c) x = 6, y = -3
d) x = 0, y = 3
Q.8.
The sum of two symmetric matrices is also a symmetric matrix.
a) False
b) True
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