Applied Mathematics 1411A/B Chapter 4.7.2: Applied Mathematics 1411A/B Chapter 4.7.: Applied Mathematics 1411A/B Chapter 4.7: Applied Mathematics 1411A/B Chapter 4.: Section 4.7.2

• School: Western University
• Department: Applied Mathematics
• Course: Applied Mathematics 1411A/B
• Professor: Bogdan Tudose

Document Summary

What relationships exist amongst the solutions to a linear system ax = b and the row space, column space and null space of the coefficient matrix a? a. Solution -> row/column/null space (recall that the row space, column space and null space are all spaces in r n) So, let"s look a little bit into a matrix and these column vectors. Ax = 0 is in a collapsed form (one equation). Let"s bring it out and expand it into a larger form. x1 x2 xn. That"s the general format for a linear relation. There can be any number of terms that are in the ax sections. For example, ax could be k1x1 + k2x2 + Where a is the matrix of [k1 k2] And x is the matrix of [x1 x2] (which no one really cares about) And b is the answer (which could be a matrix)