Chapter7: Systems Of Equations And Inequalities
Section7.6: Solving Systems With Gaussian Elimination
Problem 4SE: Can a matrix whose entry is 0 on the diagonal be solved? Explain why or why not. What would you do...
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Question
(a) Let A be a 3 × 3 matrix whose entries on the main diagonal and below the main
diagonal are all equal to zero. Compute A3
.
(b) Now, let A be an n × n-matrix with the same properties (that is, all entries on the
main diagonal and below it are all equal to 0). Show that An = 0
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