Suppose A is a 3 x 5 matrix. Which of the following statements (if any) is FALSE? O nullity(A"A) = nullity(A) rank(AT A) = rank(A) %3D rank(AAT) = rank(A) %3D nullity(AA") = nullity(A) %3D None of the statements above is false.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Suppose A is a 3 x 5 matrix.
Which of the following statements (if any) is FALSE?
nullity(ATA) = nullity(A)
rank(A" A) = rank(A)
O rank(AA") = rank(A)
O nullity(AA") = nullity(A)
None of the statements above is false.
Transcribed Image Text:Suppose A is a 3 x 5 matrix. Which of the following statements (if any) is FALSE? nullity(ATA) = nullity(A) rank(A" A) = rank(A) O rank(AA") = rank(A) O nullity(AA") = nullity(A) None of the statements above is false.
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