1. Determine how many integer solutions there are to x1 + x2 + x3 + x4 = 19, if a) 0; for all 1≤i≤4 b) 0x<8 for all 1 ≤ i ≤4 c) 0x15, 0x2≤6, 337, 3≤ x4 ≤ 8

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 26E: Determine whether the set S={2x+x2,8+x3,x2+x3,4+x2} spans P3.
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1. Determine how many integer solutions there are to x1 + x2 + x3 + x4 = 19, if
a) 0; for all 1≤i≤4
b) 0x<8 for all 1 ≤ i ≤4
c) 0x15, 0x2≤6,
337, 3≤ x4 ≤ 8
Transcribed Image Text:1. Determine how many integer solutions there are to x1 + x2 + x3 + x4 = 19, if a) 0; for all 1≤i≤4 b) 0x<8 for all 1 ≤ i ≤4 c) 0x15, 0x2≤6, 337, 3≤ x4 ≤ 8
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