Part II Suppose that B is a 4x3 matrix with full column rank. Then the number of pivot columns is and the number of free variables is In this case, the only vector in the nullspace of Bis The general problem Bx d then has at most solution(s). If C is a 2x4 matrix with full row rank, then the number of special solutions for the nullspace problem Cx O is and therefore, if C'x = d has a solution, then it actually has infinitely many.
Part II Suppose that B is a 4x3 matrix with full column rank. Then the number of pivot columns is and the number of free variables is In this case, the only vector in the nullspace of Bis The general problem Bx d then has at most solution(s). If C is a 2x4 matrix with full row rank, then the number of special solutions for the nullspace problem Cx O is and therefore, if C'x = d has a solution, then it actually has infinitely many.
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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