Hello,
yesMy work so far:
In A: c, e, and f must not equal 0
yesIn B: e must be nonzero
yesand rows 1 and 2 must not be scalar multiples of one another
Problem: Under what conditions on their entries are matrices A and B invertible?
Matrix A =
[a b c
d e 0
f 0 0]
Matrix B =
[a b 0
c d 0
0 0 e]
My work so far:
In A: c, e, and f must not equal 0
In B: e must be nonzero, and rows 1 and 2 must not be scalar multiples of one another
Am I missing any other obvious conditions?