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If Is an Orthogonal Basis for a Subspace S

question 43

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If If   is an orthogonal basis for a subspace S of   , and   then   is a diagonal   matrix. is an orthogonal basis for a subspace S of If   is an orthogonal basis for a subspace S of   , and   then   is a diagonal   matrix. , and If   is an orthogonal basis for a subspace S of   , and   then   is a diagonal   matrix. then If   is an orthogonal basis for a subspace S of   , and   then   is a diagonal   matrix. is a diagonal If   is an orthogonal basis for a subspace S of   , and   then   is a diagonal   matrix. matrix.


Definitions:

Mathematics

is the abstract science of numbers, quantity, and space, either studied in its own right (pure mathematics) or as applied to other disciplines such as physics and engineering (applied mathematics).

Syllables

Units of organization for a sequence of speech sounds, typically comprising a vowel sound with or without surrounding consonants.

Phonemes

The smallest units of sound in a language that can make a difference in meaning.

Linking Sounds

Linking sounds refers to the phonetic practice where adjacent words are connected smoothly in speech, common in many languages.

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