Consider the following truss system. 1 All bars are either vertical, horizontal, or at 45° from horizontal. Enter the elongation matrix (A = BT): (in the form "node 1 horiz", "node 1 vert", "node 2 horiz" etc.) A = (Remember that webwork uses radians for computations.) This truss system should be stable. The matrix is square, which is good. However, you should be able to verify that A has a pivot in each column of its LU decomposition. This means that it has no nullspace.

Consider the following truss system. 1 All bars are either vertical, horizontal, or at 45° from horizontal. Enter the elongation matrix (A = BT): (in the form "node 1 horiz", "node 1 vert", "node 2 horiz" etc.) A = (Remember that webwork uses radians for computations.) This truss system should be stable. The matrix is square, which is good. However, you should be able to verify that A has a pivot in each column of its LU decomposition. This means that it has no nullspace.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.7: Applications

Problem 70EQ

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