Recent content by jayred

Homework Statement Does there exist a matrix A such that the entire family A + cI is invertible for all complex numbers c? Homework Equations A matrix is invertible if det(A) != 0 I really have no clue where to go with this problem. Any hints or suggestions would be greatly helpful...

Homework Statement Find all vectors that are perpendicular to (1,4,4,1) and (2,9,8,2) The Attempt at a Solution Create matrix A = [[1,4,4,1],[2,9,8,2]] Set Ax = 0 Reduce by Gauss elimination Produces basis of (-4,0,1,0) and (-1,0,0,1) I don't know what the correct solution to...

Homework Statement Quartz, SiO2(s), does not spontaneously decompose to silicon and oxygen at 25C in the reaction: SiO2(s) -> Si(s) + O2(g) even though the standard entropy change of the reaction is large and positive (delta S = +182.02 J K-1). Explain. -------------------------...