for the 3x3 matrix ( ";" represents the end of a row)
[c,1,0; 1,c,1; 0,1,c], find all values of c, if any, that would make the matrix invertible. okay my own guess here c is anything but 0 (since 0 will make the first and second row identical, thus creating a all 0 row when u row reduce which means it's not invertible because u cannot obtain the identity matrix by row reducing) I suppose my real quesiton is the way to approach these types of problem in general. My thought is that any number that will create a 0 row when row reduce will obviously be excluded, but am I right in assuming that every other number will work therefore? or is there some other cases i need to look into?
2007-10-03
15:59:59
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2 answers
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asked by
Chris L
1