a Orthonormal basis of R² g✓ Isomorphism c Orthogonal Set b Positive Definiteness ✓Nullspace d✓ Subspace e Diagonalizable h✓ Column Space f✓ Spanning Set ✓Gram-Schmidt Orthogonalization a. The vectors and i b. A property of an inner product. c. Creates an orthonornal list of vectors from a list of linearly independent vectors. d. A subset of a vector space that is itself a vector space. e. Let S be a set of vectors in vectors space V such that the pairwise inner product is always zero. f. Every vector in the vector space can be written as a linear combination of this set of vectors. g. A linear transformation that is one-to-one and onto. h. The span of the columns of m by n matrix A. i. The set of all vectors in a vector space V that are mapped to the zero vector in a vector space W. j. An n by n matrix A such that there exists an invertible matrix P and a diagonalizable matrix B with B = P-¹AP
a Orthonormal basis of R² g✓ Isomorphism c Orthogonal Set b Positive Definiteness ✓Nullspace d✓ Subspace e Diagonalizable h✓ Column Space f✓ Spanning Set ✓Gram-Schmidt Orthogonalization a. The vectors and i b. A property of an inner product. c. Creates an orthonornal list of vectors from a list of linearly independent vectors. d. A subset of a vector space that is itself a vector space. e. Let S be a set of vectors in vectors space V such that the pairwise inner product is always zero. f. Every vector in the vector space can be written as a linear combination of this set of vectors. g. A linear transformation that is one-to-one and onto. h. The span of the columns of m by n matrix A. i. The set of all vectors in a vector space V that are mapped to the zero vector in a vector space W. j. An n by n matrix A such that there exists an invertible matrix P and a diagonalizable matrix B with B = P-¹AP
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 45E
Related questions
Question
My score was 7 out of 10; so I, obviously, got some wrong, but I don't know which ones. Thank you.
![Match the term with its definition.
a Orthonormal basis of R²
g✓ Isomorphism
c✓ Orthogonal Set
b✓ Positive Definiteness
✓Nullspace
d✓ Subspace
e ✓ Diagonalizable
h✓ Column Space
f✓ Spanning Set
Gram-Schmidt Orthogonalization
a. The vectors and
i
b. A property of an inner product.
c. Creates an orthonornal list of vectors from a list of linearly independent vectors.
d. A subset of a vector space that is itself a vector space.
e. Let S be a set of vectors in vectors space V such that the pairwise inner product is always
zero.
f. Every vector in the vector space can be written as a linear combination of this set of
vectors.
g. A linear transformation that is one-to-one and onto.
h. The span of the columns of m by n matrix A.
i. The set of all vectors in a vector space V that are mapped to the zero vector in a vector
space W.
j. An n by n matrix A such that there exists an invertible matrix P and a diagonalizable
matrix B with B = P¯¹AP](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F494356ae-2db7-448e-a147-892d80022497%2F601664b8-7576-4ab7-8003-1c797ca5c9b0%2Fhhyhalc_processed.png&w=3840&q=75)
Transcribed Image Text:Match the term with its definition.
a Orthonormal basis of R²
g✓ Isomorphism
c✓ Orthogonal Set
b✓ Positive Definiteness
✓Nullspace
d✓ Subspace
e ✓ Diagonalizable
h✓ Column Space
f✓ Spanning Set
Gram-Schmidt Orthogonalization
a. The vectors and
i
b. A property of an inner product.
c. Creates an orthonornal list of vectors from a list of linearly independent vectors.
d. A subset of a vector space that is itself a vector space.
e. Let S be a set of vectors in vectors space V such that the pairwise inner product is always
zero.
f. Every vector in the vector space can be written as a linear combination of this set of
vectors.
g. A linear transformation that is one-to-one and onto.
h. The span of the columns of m by n matrix A.
i. The set of all vectors in a vector space V that are mapped to the zero vector in a vector
space W.
j. An n by n matrix A such that there exists an invertible matrix P and a diagonalizable
matrix B with B = P¯¹AP
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