Question: (C4S3U2Q2) Let A be a 44 matrix with detA=0 . Consider the homogeneous system of linear equations Ax=0 . Which of the following statements is/are

(C4S3U2Q2) Let A

be a 44

matrix with detA=0

. Consider the homogeneous system of linear equations Ax=0

. Which of the following statements is/are true?

(I) The systemhasno solution.

(II) The system hasonly the trivial solution.

(III) The system hasinfinitely many solutions

Only (II)

Only (III)

Only (II) and (III)

Only (I) and (II)

All three.

which is / are right? please explain it.

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