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1)T F: All (x, y, z) ∈ R 3 with x = y + z is...

1)T F: All (x, y, z) ∈ R 3 with x = y + z is a subspace of R 3 9

2) T F: All (x, y, z) ∈ R 3 with x + z = 2018 is a subspace of R 3

3) T F: All 2 × 2 symmetric matrices is a subspace of M22. (Here M22 is the vector space of all 2 × 2 matrices.)

4) T F: All polynomials of degree exactly 3 is a subspace of P5. (Here P5 is the vector space of all polynomials a5x 5 + a4x 4 + a3x 3 + a2x 2 + a1x + a0 of degree less than or equal to 5.)

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