Program Description: Purpose ofproblem is to verify the law for differentiation ( AB ) ′ = A ′ B + A B ′ . Summary introduction: Problem will use matrix differentiation in the matrices A ( t ) = [ t 2 t − 1 t 3 1 t ] and B ( t ) = [ 1 − t 1 + t 3 t 2 4 t 3 ] .

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Answer 1

Question

Chapter 5.1, Problem 9P

Program Plan Intro

Program Description: Purpose ofproblem is to verify the law for differentiation (AB)′=A′B+AB′.

Summary introduction: Problem will use matrix differentiation in the matrices A(t)=[t2t−1 t 3 1 t] and B(t)=[1−t1+t3 t 24 t 3] .

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Answer 2

Question

Chapter 5.1, Problem 9P

Program Plan Intro

Program Description: Purpose ofproblem is to verify the law for differentiation (AB)′=A′B+AB′.

Summary introduction: Problem will use matrix differentiation in the matrices A(t)=[t2t−1 t 3 1 t] and B(t)=[1−t1+t3 t 24 t 3] .

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Answer 3

Question

Chapter 5.1, Problem 9P

Program Plan Intro

Program Description: Purpose ofproblem is to verify the law for differentiation (AB)′=A′B+AB′.

Summary introduction: Problem will use matrix differentiation in the matrices A(t)=[t2t−1 t 3 1 t] and B(t)=[1−t1+t3 t 24 t 3] .

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Answer 4

Question

Chapter 5.1, Problem 9P

Program Plan Intro

Program Description: Purpose ofproblem is to verify the law for differentiation (AB)′=A′B+AB′.

Summary introduction: Problem will use matrix differentiation in the matrices A(t)=[t2t−1 t 3 1 t] and B(t)=[1−t1+t3 t 24 t 3] .

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Answer 5

Chapter 5.1, Problem 9P

Program Plan Intro

Program Description: Purpose ofproblem is to verify the law for differentiation (AB)′=A′B+AB′.

Summary introduction: Problem will use matrix differentiation in the matrices A(t)=[t2t−1 t 3 1 t] and B(t)=[1−t1+t3 t 24 t 3] .

Answer 6

Chapter 5.1, Problem 9P

Program Plan Intro

Program Description: Purpose ofproblem is to verify the law for differentiation (AB)′=A′B+AB′.

Summary introduction: Problem will use matrix differentiation in the matrices A(t)=[t2t−1 t 3 1 t] and B(t)=[1−t1+t3 t 24 t 3] .

Answer 7

Chapter 5.1, Problem 9P

Program Plan Intro

Program Description: Purpose ofproblem is to verify the law for differentiation (AB)′=A′B+AB′.

Summary introduction: Problem will use matrix differentiation in the matrices A(t)=[t2t−1 t 3 1 t] and B(t)=[1−t1+t3 t 24 t 3] .

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 5.1 - Let A=[2347] and B=[3451]. Find (a) 2A+3B; (b)...Ch. 5.1 - Prob. 2P Ch. 5.1 - Find AB and BA given A=[203415] and B=[137032].Ch. 5.1 - Prob. 4P Ch. 5.1 - Prob. 5P Ch. 5.1 - Prob. 6P Ch. 5.1 - Prob. 7P Ch. 5.1 - Prob. 8P Ch. 5.1 - Prob. 9P Ch. 5.1 - Prob. 10P

Program Description: Purpose ofproblem is to verify the law for differentiation ( AB ) ′ = A ′ B + A B ′ . Summary introduction: Problem will use matrix differentiation in the matrices A ( t ) = [ t 2 t − 1 t 3 1 t ] and B ( t ) = [ 1 − t 1 + t 3 t 2 4 t 3 ] .

Solution Summary: The author explains the purpose of the problem, which is to verify the law for differentiation.

Concept explainers

Program Description: Purpose ofproblem is to verify the law for differentiation (AB)′=A′B+AB′.

Summary introduction: Problem will use matrix differentiation in the matrices A(t)=[t2t−1 t 3 1 t] and B(t)=[1−t1+t3 t 24 t 3] .

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Chapter 5 Solutions

Program Description: Purpose ofproblem is to verify the law for differentiation ( AB ) ′ = A ′ B + A B ′ . Summary introduction: Problem will use matrix differentiation in the matrices A ( t ) = [ t 2 t − 1 t 3 1 t ] and B ( t ) = [ 1 − t 1 + t 3 t 2 4 t 3 ] .

Solution Summary: The author explains the purpose of the problem, which is to verify the law for differentiation.

Concept explainers

Program Description: Purpose ofproblem is to verify the law for differentiation (AB)′=A′B+AB′. Summary introduction: Problem will use matrix differentiation in the matrices A(t)=[t2t−1 t 3 1 t] and B(t)=[1−t1+t3 t 24 t 3] .

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Chapter 5 Solutions

Program Description: Purpose ofproblem is to verify the law for differentiation (AB)′=A′B+AB′.

Summary introduction: Problem will use matrix differentiation in the matrices A(t)=[t2t−1 t 3 1 t] and B(t)=[1−t1+t3 t 24 t 3] .