GATE Mechanical Engineering (ME) 2022 Shift 2 Solved Paper

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Question : 47 of 65

Marks: +1, -0

A is a 3 × 5 real matrix of rank 2. For the set of homogeneous equations Ax = 0, where 0 is a zero vector and x is a vector of unknown variables, which of the following is/are true?

The given set of equations will have a unique solution.
The given set of equations will be satisfied by a zero vector of appropriate size.
The given set of equations will have infinitely many solutions.
The given set of equations will have many but a finite number of solutions.

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