2. Suppose a certain system of equations Ar = b has a solution set which can be written in the following parametric vector form (with free parameters c and c2): 1 + c1 0. + c2 1 1 (a) What is the rank of A? (b) Find a basis for Nul A, the null space of A. Find a matrix B so that all x E (Nul A) satisfy Bx = 0 and use this to find a basis for (c) (Nul A).
2. Suppose a certain system of equations Ar = b has a solution set which can be written in the following parametric vector form (with free parameters c and c2): 1 + c1 0. + c2 1 1 (a) What is the rank of A? (b) Find a basis for Nul A, the null space of A. Find a matrix B so that all x E (Nul A) satisfy Bx = 0 and use this to find a basis for (c) (Nul A).
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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