If and Are Both Inner Products on a Vector Space

question 44

True/False

If
and
are both inner products on a vector space V, then
is also an inner product on V.

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Definitions:

Gymnosperms

A group of seed-producing plants that includes conifers, cycads, Ginkgo, and gnetophytes, notable for not having flowers or fruit.

Wingless Insects

Insects that lack wings at all stages of their life cycle, adapted for different modes of life than their winged counterparts.

Fish With Jaws

Refers to gnathostomes, which are vertebrates that possess true jaws, a significant evolutionary feature allowing them to exploit a wider variety of food sources.

Endosymbiosis

Type of symbiosis in which one organism lives inside another. See endosymbiont.