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(Solved): Please show work!!! Let T:M(n,R)M(n,R) be T(A)=AAT. Verify that T is linear. What is the rank ...



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Please show work!!!

Let be . Verify that is linear. What is the rank and nullity of the in the previous question? Explain your answer. (You may assume statements about dimensions of symmetric and antisymmetric matrices). Explain your answer.


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Linearity

Given that






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