Let vi = (3,2,–-2) and v2 = (2,-1,-1). Which of the following vectors are in span{V1,V2}?(i) (1,3,0)(ii) (-1,4,0)(iii) (0,7,–1)

A vector u is said to be in span{v1, v2} we can can find some real values a and b such that we can…

Answered: Let vị = (3,2,-2) and v2 (2,–1,–1).…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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7. Find all values of x that make (x, 1, –3) and (x, 2, x) perpendicular vectors.
Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (4V₂ - V₁, 4v₁ + 5v₂), v = (4, -3, -2), w = (3,9) (a) the image of v (b) the preimage of w (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.)
Suppose that v₁ = (3, 6, 0, 5), v₂ = (5, -1, 5, 2) and v3 = (-7,0, 3, 5). Is the following vector in the span{V₁, V2, V3}? (4, 27, -18,9) O The vector is in the span. O The vector is not in the span.
Suppose that v1 = (4, 1, 0, 4), v2 = (2, -4, 5, 2) and v3 = (-2, 0, 3, 6). Is the following vector in the span{v1, V2, V3}? (8, 16, -12, 16) O The vector is in the span. O The vector is not in the span.
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Q3: Determine which of the following vectors are in span -2 If the vectors are in the span write them as a a linear combination of the above vectors, otherwise give a brief reason why the vector isn't in the span. (a) [1 2 8 1] (b) [2 4 -5 8] (c) [-3 7 11 11]
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Let vị = (3,2,-2) and v2 (2,–1,–1). Which of the following vectors are in span{v1,v2}? (i) (1,3,0) (ii) (–1,4,0) (iii) (0,7,-1)