IITM BS Question 26 - Week 3 Practice

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IITM BS Question 26 - Week 3 Practice | Prasnya

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Q26Numerical4 Marks5 Jun 2022

Which of the following subsets are not vector subspaces of

\mathbb{R}^3

with respect to usual addition and scalar multiplication? 1)

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

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

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

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

. Enter the serial number of the subset which is not a vector subspace.

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Q26

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5 Jun 2022

Mathematics 2 · Week 3

Q26.Which of the following subsets are not vector subspaces of

\mathbb{R}^3

with respect to usual addition and scalar multiplication? 1)

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

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

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

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

. Enter the serial number of the subset which is not a vector subspace.

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