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Math · Advanced Math
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Exercise (1.3). Generalizing Erample 1.3, we say that a square matriz R with entries Tij is upper-triangular if Tiy 0 for i > j. By considering what space is spanned by the first n columns of R and using (1.8), show that if R is a nonsingular m × m upper-triangular matriz, the R-1 is also upper-triangular. (The analogous result also holds for lower-triangular matrices.)

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