Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 28, Problem 11A
To determine

(a)

The degree of precision.

To determine

(b)

The value equal to or less than the range of the values.

To determine

(c)

The value greater than the range of the values.

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7. Rank and Nullity • Prove the Rank-Nullity Theorem: dim(ker(T)) + dim(im(T)) = dim(V) for a linear transformation T: VW. • Compute the rank and nullity of the matrix: [1 2 37 C = 45 6 7 8 9
5. Inner Product Spaces • • Prove that the space C[a, b] of continuous functions over [a, b] with the inner product (f,g) = f f (x)g(x)dx is an inner product space. Use the Gram-Schmidt process to orthogonalize the vectors (1, 1, 0), (1, 0, 1), and (0, 1, 1).
19. Block Matrices • Prove that the determinant of a block matrix: A B 0 D . is det(A) · det (D), where A and D are square matrices. • Show how block matrices are used in solving large-scale linear systems.
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