?In Exercises 1–2, use the Subspace Test to determine which of the sets are subspaces of

Chapter 4, Problem 1

(choose chapter or problem)

In Exercises 1–2, use the Subspace Test to determine which of the sets are subspaces of \(R^{3}\).

a. All vectors of the form \((a, 0, 0)\).

b. All vectors of the form \((a, 1, 1)\).

c. All vectors of the form \((a, b, c)\), where \(b = a + c\).

Equation Transcription:

Text Transcription:

R^3

(a, 0, 0)

(a, 1, 1)

(a, b, c)

b = a + c

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