Question 44 - Week 4 Practice | Prasnya

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Qualifier / Quiz 1

Go to subjectMathematics 2 Go to chapterWeek 4

Question 44

00:00Est. 1 min

Marks:+1.000.00

Passage

Consider the following subsets of

\mathbb{R}^3

. Subset 1:

W=\{(x,y,z):x,y,z\in\mathbb{R},\ x^2+y^2=0\}

. Subset 2:

W=\{(x,y,z):x,y,z\in\mathbb{R},\ x=-z\}

. Subset 3:

W=\{(x,y,z):x,y,z\in\mathbb{R},\ z=2y+z\text{ and }x+z=2y\}

. Subset 4:

W=\{(x,y,z):x,y,z\in\mathbb{R},\ (x-1)-y+(z+1)=0\text{ and }x+y=z\}

. Based on the above data, answer the given subquestions.

Question

Subset 1 is a subspace of dimension __________. Enter the numerical value only.

Comprehension

Easy Difficulty

16 October 2022

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