- #1
mathboy
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Let A be a nxn matrix. Prove that if (A*)A=0 then A=0. What if A(A*) = 0?
A* is the conjugate transpose of A. When I write out the expansion formula, I cannot conclude that every entry of A is zero. What am I missing?
A* is the conjugate transpose of A. When I write out the expansion formula, I cannot conclude that every entry of A is zero. What am I missing?