Show that the set W = $\boldsymbol{\{}$[x, y, z]| y = x+ z$\boldsymbol{\}}$ is a subspace of R${}^{n}$ under the usual addition and scalar multiplication.

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written 9.4 years ago by

teamques10 ★ 70k

modified 3.8 years ago by

krithikkm200 • 10

Mumbai University > Electronics and Telecommunication > Sem 4 > Applied Maths 4

Marks: 6M

Year: May 2015

engineering mathematics

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written 9.4 years ago by

teamques10 ★ 70k

Since y=x+z and y is a r cal number

since for (0,0,0)

for W to be a subspace (0,0,0) must be in W by first case Y=0+0=0

Thus y=0

Addition

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Multiplication

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