Thursday, December 28, 2006

math interview

Q 1...State relation between the rank of a matrix and its adjoint matrix.
ANS..If A is a n*n matrix of rank n-1 ,then its adjoint is of rank 1.
Q2..IS {0,1,+}IS A GROUP.
ANS.. no,1+1=2, hence clousre property does not hold.
Q3..State a example of a fuction,which is continuous every where and nondifferentiable at two points only.
ANS..f(x)=mod(x)+mod(x-1).
Q4..IF A, B are n-rowed square matrices ,what will be same for AB and BA.
ANS..they have same characteristic equation.
Q5..What you can say about rank of skew-symmetric matrix.
ANS..It will be even.
Q6..WHAT IS MEANT BY ORDER OF CONVERGENCE OF A ITERATIVE METHOD.
ANS..convergence of a iterative method shows at each iteration absolute error is proportional to which ratio of the previous value.
Q7..PROVIDE EXAMPLE OF HAUSDROFF SPACE.
ANS..Real space.
Q8.IF z LIES ON mod(z)=1, then locus of 2/z.
ANS..LOCUS IS Circle with center at origin with radius 2.
Q9.THE order of a diff. equation. whose general solution is (a+b)cos(x+c)-d*e*(x+e).
ANS..3

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