Given V = {(x, y) |x >0} where (x1, y₁) (x2, y2) = (x1x2, y₁ + y2) and c○ (x, y) = (xº, cy), why is closure property under vector addition satisfied? The range of the exponential function is the set of positive numbers and the sum of two real numbers is a real number. The range of the exponential function is the set of positive numbers and the product of two real numbers is a real number. The product of two real numbers and the sum of two real numbers are real numbers. O The product of two positive numbers is positive and the sum of two real numbers is a real number.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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13. Vector Addition Closure Property

Given V = {(x, y) |x > 0} where (x₁, y₁) ⇒ (x2, Y2) = (x₁x2, Y₁ + y₂) and
co (x, y) = (xº, cy), why is closure property under vector addition satisfied?
The range of the exponential function is the set of positive numbers and the sum
of two real numbers is a real number.
O The range of the exponential function is the set of positive numbers and the
product of two real numbers is a real number.
O The product of two real numbers and the sum of two real numbers are real
numbers.
O The product of two positive numbers is positive and the sum of two real numbers
is a real number.
Transcribed Image Text:Given V = {(x, y) |x > 0} where (x₁, y₁) ⇒ (x2, Y2) = (x₁x2, Y₁ + y₂) and co (x, y) = (xº, cy), why is closure property under vector addition satisfied? The range of the exponential function is the set of positive numbers and the sum of two real numbers is a real number. O The range of the exponential function is the set of positive numbers and the product of two real numbers is a real number. O The product of two real numbers and the sum of two real numbers are real numbers. O The product of two positive numbers is positive and the sum of two real numbers is a real number.
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