For the matrix the set is the column space of A. The vector v = has [select all that apply] ✔ a unique solution ✔ infinitely many solutions Ono solution. A = 2-3 3 3-4 3 3 -3 0, S = {b € R³ : : b = Ax for some x y Z 2 -3 3 x 3 -4 3 y 3 -3 0 z belongs to this set whenever the augmented matrix XER³ R³} By row reducing, we find that saying v ES is equivalent to x, y and z satisfying a linear condition of the form ax+by+cz=0. Specifically, this condition is equivalent to z/3+y+x=0 a plane through the origin 团. In this case the column space of A is Note: • the Maple syntax for the equation ax+by+cz=0 is a*x+b*y+c*z=0 • make sure to explicitly specify multiplication using an asterisk *.
For the matrix the set is the column space of A. The vector v = has [select all that apply] ✔ a unique solution ✔ infinitely many solutions Ono solution. A = 2-3 3 3-4 3 3 -3 0, S = {b € R³ : : b = Ax for some x y Z 2 -3 3 x 3 -4 3 y 3 -3 0 z belongs to this set whenever the augmented matrix XER³ R³} By row reducing, we find that saying v ES is equivalent to x, y and z satisfying a linear condition of the form ax+by+cz=0. Specifically, this condition is equivalent to z/3+y+x=0 a plane through the origin 团. In this case the column space of A is Note: • the Maple syntax for the equation ax+by+cz=0 is a*x+b*y+c*z=0 • make sure to explicitly specify multiplication using an asterisk *.
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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