GATE CSE 2024 CS1 Q49: Linear Algebra

Let

be any

matrix, where

. Which of the following statements is/are TRUE about the system of linear equations

Your answerSelect all correct options. You can choose more than one.

There exist at least

linearly independent solutions to this system

There exist

linearly independent vectors such that every solution is a linear combination of these vectors

There exists a non-zero solution in which at least

variables are 0

There exists a solution in which at least

variables are non-zero

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