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Q7Section I (General (compulsory))7 of 84

rank⁡(AAt)=rank⁡A\operatorname{rank}(AA^t)=\operatorname{rank} A for real matrices

If

A=(12303−20−64),A=\begin{pmatrix}1&2&3\\0&3&-2\\0&-6&4\end{pmatrix},

then the rank of the matrix AAtAA^t is:

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