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Suppose that is an orthonormal basis for.Which of the following statements is true?(In what follows, stands for the inner product on and is the standard norm.) I. for any. II., for all. III.

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MCQs on Partial Differential Equations.


Suppose that<br><img src='https://www.fatskills.com/images2/GradExams/263CBBEC-F0E7-4233-9423-986E80896198.png' height='20' width='87'/> is an orthonormal basis for<br><img src='https://www.fatskills.com/images2/GradExams/FA34593F-686D-487F-A186-47F5BA4EFED0.png' height='22' width='53'/>.Which of the following statements is true?(In what follows,<br><img src='https://www.fatskills.com/images2/GradExams/805EA7B2-0E77-4939-9933-58C489994858.png' height='20' width='32'/> stands for the inner product on<br><img src='https://www.fatskills.com/images2/GradExams/FA34593F-686D-487F-A186-47F5BA4EFED0.png' height='22' width='53'/> and<br><img src='https://www.fatskills.com/images2/GradExams/664DB236-7DFB-4B19-A23B-3B3702E23A89.png' height='20' width='37'/> is the standard<br><img src='https://www.fatskills.com/images2/GradExams/FA34593F-686D-487F-A186-47F5BA4EFED0.png' height='22' width='53'/> norm.)<br/> I.<br><img src='https://www.fatskills.com/images2/GradExams/3540890C-F599-431A-9B67-3A289D0E9970.png' height='24' width='73'/> for any<br><img src='https://www.fatskills.com/images2/GradExams/D8F0A0B9-3DDB-449C-98D9-B0C3C134E282.png' height='10' width='11'/>.<br/> II.<br><img src='https://www.fatskills.com/images2/GradExams/A50879A9-6938-4369-91B9-9B67FD6CECB8.png' height='21' width='93'/>, for all<br><img src='https://www.fatskills.com/images2/GradExams/57DC35A2-6BC2-40D7-B091-86BE7D4F0175.png' height='20' width='46'/>.<br/> III.<br><img src='https://www.fatskills.com/images2/GradExams/3D3B6000-FE6B-4A66-93B4-CD4B053EC186.png' height='22' width='117'/>





 
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