5. Show that if H and H2 are two orthogonal subspaces of H, then Hin H2 = {0}. Does the converse hold?

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Chapter2: Second-order Linear Odes
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number 5 please
box A and box B. Can you reliably tell the difference between the boxes by examining
only one of the qubits?
5. Show that if Hị and H2 are two orthogonal subspaces of H, then H, n H2 = {0}. Does
the converse hold?
6. Some particles (certain atomic nuclei, and certain mediating particles) have spin 1. This
means that in a Stern-Gerlach experiment they vield three measurements: h, 0, –h. This
Transcribed Image Text:box A and box B. Can you reliably tell the difference between the boxes by examining only one of the qubits? 5. Show that if Hị and H2 are two orthogonal subspaces of H, then H, n H2 = {0}. Does the converse hold? 6. Some particles (certain atomic nuclei, and certain mediating particles) have spin 1. This means that in a Stern-Gerlach experiment they vield three measurements: h, 0, –h. This
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