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6. Write True or False.

6. Write True or False.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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6. Write True or False. a) A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution. b) If A is 3x 5 matrix and T is a transformation defined by T(x)= Ax , then the domain of T is R. c) If AB = BA and if A is invertible, then AB = BA'. d) The differential equation * = Vxy+Jxy is a Bernoulli differential equation. dx e) If T: R* → R" is a linear transformation with matrix A, then Rng(T) is the column
Transcribed Image Text:6. Write True or False. a) A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution. b) If A is 3x 5 matrix and T is a transformation defined by T(x)= Ax , then the domain of T is R. c) If AB = BA and if A is invertible, then AB = BA'. d) The differential equation * = Vxy+Jxy is a Bernoulli differential equation. dx e) If T: R* → R" is a linear transformation with matrix A, then Rng(T) is the column
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