Exercise 6. Show that the vectors uj = (1,2, 3), u2 = (-1, –1, 1) in R³ are perpendicular. Find a nonzero vector uz in R³ perpendicular to both. Express the vector w = combination of u1, u2, uz. (Does it help to think of un as i+2j + 3k and uz as -i-j + k here?) (1, 1, 1) as a linear
Exercise 6. Show that the vectors uj = (1,2, 3), u2 = (-1, –1, 1) in R³ are perpendicular. Find a nonzero vector uz in R³ perpendicular to both. Express the vector w = combination of u1, u2, uz. (Does it help to think of un as i+2j + 3k and uz as -i-j + k here?) (1, 1, 1) as a linear
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 63EQ
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