Writing a Linear Combination In Exercises 47 − 50 , write v as a linear combination of u 1 , u 2 ,and u 3 , if possible. v = ( − 1 , 7 , 2 ) , u 1 = ( 1 , 3 , 5 ) , u 2 = ( 2 , − 1 , 3 ) , u 3 = ( − 3 , 2 , − 4 )
Writing a Linear Combination In Exercises 47 − 50 , write v as a linear combination of u 1 , u 2 ,and u 3 , if possible. v = ( − 1 , 7 , 2 ) , u 1 = ( 1 , 3 , 5 ) , u 2 = ( 2 , − 1 , 3 ) , u 3 = ( − 3 , 2 , − 4 )
Solution Summary: The author explains that it is not possible to represent vector v as a linear combination of scalar multiples of vectors.
Write v as a linear combination of u1, u2, and u3, if possible.v = (0, 5, 3, 0), u1 = (1, 1, 2, 2), u2 = (2, 3, 5, 6), u3 = (−3, 1, −4, 2)
Write v as a linear combination of u₁, ₂, and u3, if possible. (If not possible, enter IMPOSSIBLE.)
v = (0, 6, 8, 0), ū₁ = (1, 1, 2, 2), ¹₂ = (2, 3, 5, 6), 3 = (-3, 1, -4, 2)
Du₂
)u3
V =
+
+
Write v as a linear combination of u1, u2, and u3, if possible.
v = (1, 2, 3, 5), u1 = (1, 2, 3, 4), u2 = (−1, −2, −3, 4), u3 = (0, 0, 1, 1)
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