## Question

###### Both A matrix with p rows and q rank columns q and both p>q 1.Prove that AT A is symmetrical and invertible_ 2. Demonstrate that AAT is symmetrical but not invertible_3. Prove that the Eigenvalues of both are greater or zero |

Both A matrix with p rows and q rank columns q and both p>q 1.Prove that AT A is symmetrical and invertible_ 2. Demonstrate that AAT is symmetrical but not invertible_ 3. Prove that the Eigenvalues of both are greater or zero |

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