✓For Pi as defined below, show that {P1, P2, P3} is an
orthogonal subset of R4. Find a fourth vector P4 such that {P1, P2,
P3, P4} forms an orthogonal basis in R4. To what extent is P4
unique?
P1 = [1,1,1,1]t, P2 = [1, −2, 1, 0]t, P3 = [1,1,1, −3]t
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