![2nd Assignment, due on February 8, 2016. Problem 1 [10], Let G](http://s1.studyres.com/store/data/019737340_1-6b1bb67a45388c2bf632f0c4dc13cf12-300x300.png)
Similarity - U.I.U.C. Math
... vector v ∈ V can be written in exactly one way as a linear combination of the basis vectors of X: v = c1 x1 + · · · + cn xn , where all ci ∈ R; we call the n × 1 column vector (c1 , . . . , cn )> the coordinate list of v wrt X (with respect to X). Of course, every vector w ∈ W has a coordinate list ...
... vector v ∈ V can be written in exactly one way as a linear combination of the basis vectors of X: v = c1 x1 + · · · + cn xn , where all ci ∈ R; we call the n × 1 column vector (c1 , . . . , cn )> the coordinate list of v wrt X (with respect to X). Of course, every vector w ∈ W has a coordinate list ...
Chapter 1. Linear equations
... • Theorem: A, B row-equivalent mxn matrices. AX=0 and BX=0 have the exactly same solutions. • Definition: mxn matrix R is row-reduced if – The first nonzero entry in each non-zero row of R is 1. – Each column of R which contains the leading non-zero entry of some row has all its other entries 0 ...
... • Theorem: A, B row-equivalent mxn matrices. AX=0 and BX=0 have the exactly same solutions. • Definition: mxn matrix R is row-reduced if – The first nonzero entry in each non-zero row of R is 1. – Each column of R which contains the leading non-zero entry of some row has all its other entries 0 ...
