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(a) Suppose that a 120-vector a represents the age distribution of the customs in a bank, where a, is the number of customs with i year olds, for i = 1, ..,120. Consider that 1 is one vector, whose elements are equal to 1, and that b is a 120-vector with bị = t. Use words (NOT equations) to explain the meaning of 1'a bTa 1Ta (1) (b) Consider that x, y and z are m-vectors, and that ß is a scalar. Discuss the efficient procedure to compute B(x)"y+B(x)*z. Show the number of additions and the number of multiplications of your suggested procedure.

(a) Suppose that a 120-vector a represents the age distribution of the customs in a bank, where a, is the number of customs with i year olds, for i = 1, ..,120. Consider that 1 is one vector, whose elements are equal to 1, and that b is a 120-vector with bị = t. Use words (NOT equations) to explain the meaning of 1'a bTa 1Ta (1) (b) Consider that x, y and z are m-vectors, and that ß is a scalar. Discuss the efficient procedure to compute B(x)"y+B(x)*z. Show the number of additions and the number of multiplications of your suggested procedure.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 9CM: Take this test to review the material in Chapters 4 and 5. After you are finished, check your work...
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(a) Suppose that a 120-vector a represents the age distribution of the customs in a bank, where a, is the mumber of customs with i year olds, for i = 1, .,120. Consider that 1 is one vector, whose elements are equal to 1, and that b is a 120-vector with b, = i. Use words (NOT equations) to explain the meaning of (i) 1"a bTa 1Ta (b) Consider that x, y and z are m-vectors, and that ß is a scalar. Discuss the efficient proceđure to compute B(x)"y+ß(x)"z. Show the mumber of additions and the number of multiplications of your suggested procedure.
Transcribed Image Text:(a) Suppose that a 120-vector a represents the age distribution of the customs in a bank, where a, is the mumber of customs with i year olds, for i = 1, .,120. Consider that 1 is one vector, whose elements are equal to 1, and that b is a 120-vector with b, = i. Use words (NOT equations) to explain the meaning of (i) 1"a bTa 1Ta (b) Consider that x, y and z are m-vectors, and that ß is a scalar. Discuss the efficient proceđure to compute B(x)"y+ß(x)"z. Show the mumber of additions and the number of multiplications of your suggested procedure.
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