Linear Algebra

4

Linear Maps and Matrices

4.1 INTRODUCTION

There is another way of interpreting solutions of matrix equations. If A ∈ M_m×n() and b is a column vector in ^m, then solving the matrix equation Ax = b is equivalent to determining all the vectors x in ⁿ such that left-multiplying x by A produces the vector b in ^m. Thus, we can think of multiplication ...