Questions 21–23 of 23. Imported answers require independent review unless marked reviewed.

Topic practice 23 questionsPage 3 of 3

Question 46

Open question
MEMSQ2 marksNeeds review
The system of linear equations in real

given by

involves a real parameter

and has infinitely many non-trivial solutions for special value(s) of

. Which one or more among the following options is/are non-trivial solution(s) of

for such special value(s) of

?
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Question 46

Open question
MEMSQ2 marksNeeds review
A is a

real matrix of rank 2. For the set of homogeneous equations

, where

is a zero vector and

is a vector of unknown variables, which of the following is/are true?
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Question 47

Open question
MEMSQ2 marksNeeds review
The lengths of members BC and CE in the frame shown in the figure are equal. All the members are rigid and lightweight, and the friction at the joints is negligible. Two forces of magnitude

are applied as shown, each at the mid-length of the respective member on which it acts. Which one or more of the following members do not carry any load (force)?
Diagram for Mechanical Engineering question 47

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