Question

Set of vectors consisting of zero vector is​

Answer 1

Step-by-step explanation:

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Z

Fred E. Szabo PhD, in The Linear Algebra Survival Guide, 2015

Zero Vector

The zero vector of a vector space V is the vector 0 with the property that v + 0 = v for all vectors v in V.

Illustration

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The zero vector of ℝ5

zero = {0, 0, 0, 0, 0};

{a, b, c, d, e} + zero == {a, b, c, d, e}

True

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The zero vector in the polynomial space ℝ[t,3]

zero = 0 + 0t + 0 t2 + 0 t3 ;

a + b t + c t2 + d t3 + zero == a + b t + c t2 + d t3

True

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The zero vector in the matrix space ℝ2 ×3

MatrixForm[zero = {{0, 0, 0}, {0, 0, 0}}]

( 0 0 0 0 0 0 )