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Unformatted text preview: T is onetoone m A x = has only trivial solution m Every column of A has a pivot position m The columns of A are linearly independent If A is an n × n matrix ←→ T is onto m A x = b has a solution for all b m Every row of A has a pivot position m The columns of A span R m • Inverse: A1 = 1 det( A ) (adj( A )) [ A  I ]→ [ I  A1 ] • Determinant: A is invertible ⇐⇒ det A 6 = 0 1...
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This note was uploaded on 04/03/2010 for the course MATH math111 taught by Professor Cheng during the Spring '07 term at HKUST.
 Spring '07
 Cheng
 Linear Algebra, Algebra, Equations

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