Find all values of a e R such that {(1,2,5), (a, -2,5), (-3,6,5)} forms a linearly independent set in R³. for R³ Find all values of a € IR such that {(a, 1,0), (0,0, a),(a, 1, a)} forms a basis

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find all values of a € IR such that {(1,2,5),(a, -2,5), (-3,6,5)} forms a
linearly independent set in R³.
for R³
Find all values of a € R such that {(a, 1,0), (0, 0, a),(a,1,a)} forms a basis
Transcribed Image Text:Find all values of a € IR such that {(1,2,5),(a, -2,5), (-3,6,5)} forms a linearly independent set in R³. for R³ Find all values of a € R such that {(a, 1,0), (0, 0, a),(a,1,a)} forms a basis
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