Fundamentals of Differential Equations (9th Edition)
Fundamentals of Differential Equations (9th Edition)
9th Edition
ISBN: 9780321977069
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
Publisher: PEARSON
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Let v₁ = (2,-3,7,8), v2 = (3, 10, -6, 14), v3 = (0, 19, -2, 16), and v₁ = (9, -2, 1, 10). Is the set {V1, V2, V3, V4} a basis for R4? Of the two sets S = {(3x-5y, 4x + 7y, x+9y): x, y = R} and T = {2x-3y+z, -7x-3y²+z, 4x + 3z): x, y, z = R} which is a subspace of R3? (S, T, both, neither) Justify.
Find a basis and dimension for the null space of the following matrix: 3 -2 0 7 -2 1-1 1 5 3 19-2 8 06 1 -2 -4 -5-6 -9 4-6 11 6 Find a basis and dimension for the column space of the same matrix (above).
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