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Let T be a linear operator on an inner product space V. Let U1= T + T* and U2 = TT*. Prove that U1 = U1* and U2= U2*.

Find the value of ‘k’ for which the system of equation kx + 3y = k – 3 and 12x + ky = k will have no...

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8x+4y+10z=6
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55°
m ZABD = 180°
%3D
MZABC =
equation:
%3D

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If T is an operator in an inner product space V over the field F together with an inner product, i.e., with a map<img src="https://prod-qna-question-images.s3.amazonaws.com/qna-images/answer/e14134d6-6366-47fc-84d1-352f54925f36/b5535d54-2ade-48c7-b036-5a3d59894604/ouhhlgo.png" alt="Algebra homework question answer, step 1, image 1" />&nbsp;

Now, It is given T is a linear operator on an inner product space V.  And<img src="https://prod-qna-question-images.s3.amazonaws.com/qna-images/answer/e14134d6-6366-47fc-84d1-352f54925f36/b5535d54-2ade-48c7-b036-5a3d59894604/nl0e5s.png" alt="Algebra homework question answer, step 2, image 1" />Suppose x and y are two vectors in the given inner space then we must have: ...

Algebra

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Let T be a linear operator on an inner product space V. Let U1= T + T* and U2 = TT*. Prove that U1 = U1* and U2= U2*.

Let T be a linear operator on an inner product space V. Let U1= T + T* and U2 = TT. Prove that U1 = U1 and U2= U2*.

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