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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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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