IITM BS Question 14 - Week 3 Practice

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IITM BS Question 14 - Week 3 Practice | Prasnya

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Q14Comprehension1 Mark25 Feb 2024

Passage

Let

V=\{(x,y,5):x,y\in\mathbb{R}\}

. Define addition and scalar multiplication by

(x_1,y_1,5)+(x_2,y_2,5)=(x_1+x_2,y_1+y_2,5)

and

c(x,y,5)=(cx,cy,5)

for

c\in\mathbb{R}

. Answer the given subquestions with respect to the given information.

Is the set

V

closed under scalar multiplication?

Q14

00:00

25 Feb 2024

Mathematics 2 · Week 3

Q14.Is the set

V

closed under scalar multiplication?@passage

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