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Engineering Maths · Q105

Linear Algebra

Engineering and GATE · Engineering Maths · question 105

Q105

If the rank of a (5 × 6) matrix Q is 4, then which one of the following statements is correct?

A.
Q will have four linearly independent rows and four linearly independent columns
Answer
B.
Q will have four linearly independent rows and five linearly independent columns
C.
QQT will be invertible
D.
QTQ will be invertible

Answer: Option A

Solution

Answer: Option A
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