Early homework is due by 5:00 pm Wednesday.
If you did the early homework, you don't need to turn in problems 8, 16, or 20 from section 5.7 or problems 2 or 30 from section 6.1 on Friday. However, please make a note on your homework that you have done so. Question 1: Give all solutions to the differential equation:

x'(t)=

1 0 0 0 2 0 0 0 0

x(t).

Question 2: Compute the inner product (v₁, v₂), where

v1=

1 3

, and v2=

3 -1

.

Question 3: Observe that v₁ and v₂ form a basis for R². Use the inner product to find numbers a and b such that e₁ = av₁ + bv₂. [Hint: What is (av₁ + bv₂, v₁)?]

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