If the determinant of an n × n matrix A is zero, then – McqOptions

MCQOPTIONS

1.	If the determinant of an n × n matrix A is zero, then
A.	rank(A) > n – 2
B.	the trace of A is zero
C.	zero is an eigen value of A
D.	x = 0 is the only solution of Ax = 0
Answer» D. x = 0 is the only solution of Ax = 0

Discussion

No Comment Found

Related MCQs

The volume of the solid formed by revolving the curve y = x between x = 0 and x = 1 about the x- axis is equal to __________.
A system comprising of n identical components works if at least one of the components works. Each of the components works with probability 0.8, independent of all other components. The minimum value of n for which the system works with probability at least 0.97 is __________.
If the determinant of an n × n matrix A is zero, then
2000 cashew nuts are mixed thoroughly in flour. The entire mixture is divided into 1000 equal parts and each part is used to make one biscuit. Assume that no cashews are broken in the process. A biscuit is picked at random. The probability that it contains no cashew nuts is
There are two boxes, each containing two components. Each component is defective with probability 1/4, independent of all other components. The probability that exactly one box contains exactly one defective component equals