Consider the following. (a) Show that the set of vectors in R" is orthogonal. (v5, V5. V5) · (0, Vz. -v2) -| (b) Normalize the set to produce an orthonormal set.
Consider the following. (a) Show that the set of vectors in R" is orthogonal. (v5, V5. V5) · (0, Vz. -v2) -| (b) Normalize the set to produce an orthonormal set.
Consider the following. (a) Show that the set of vectors in R" is orthogonal. (v5, V5. V5) · (0, Vz. -v2) -| (b) Normalize the set to produce an orthonormal set.
Transcribed Image Text:Consider the following.
{(v5, v5, v5). (0, vz, -vE)}
(a) Show that the set of vectors in R" is orthogonal.
(v5, V5, V5) · (0, vz, -vz) -|
(b) Normalize the set to produce an orthonormal set.
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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