40. Let u1 = (3, 1, 1), u2 = (−1, 2, 1), and u3 = (−1/2, −2, 7/2). Verify {u1, u2, u3} is an orthogonal set, then expres
Posted: Thu May 05, 2022 7:47 pm
40. Let u1 = (3, 1, 1), u2 = (−1, 2, 1), and u3 = (−1/2, −2,
7/2). Verify {u1, u2, u3} is an orthogonal set, then express y =
(6, 1, −8) as a linear combination of u1, u2, and u3.
Answer is: y = u1 − 2u2 − 2u3
40. Let u₁= (3, 1, 1), u₂ = (-1, 2, 1), and us = (-1/2, -2,7/2). Verify {u₁, U2, U3} is an orthogonal set, then express y = (6, 1, -8) as a linear combination of u₁, U2, and us.
7/2). Verify {u1, u2, u3} is an orthogonal set, then express y =
(6, 1, −8) as a linear combination of u1, u2, and u3.
Answer is: y = u1 − 2u2 − 2u3
40. Let u₁= (3, 1, 1), u₂ = (-1, 2, 1), and us = (-1/2, -2,7/2). Verify {u₁, U2, U3} is an orthogonal set, then express y = (6, 1, -8) as a linear combination of u₁, U2, and us.