Suppose V1;:::;Vm are inner product spaces. Show that the equationh.u1;:::;um/; .v1;:::;
Chapter 6, Problem 23(choose chapter or problem)
Suppose V1;:::;Vm are inner product spaces. Show that the equationh.u1;:::;um/; .v1;:::; vm/iDhu1; v1iCChum; vmidefines an inner product on V1 Vm.[In the expression above on the right, hu1; v1i denotes the inner producton V1,..., hum; vmi denotes the inner product on Vm. Each of the spacesV1;:::;Vm may have a different inner product, even though the samenotation is used here.]
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