乃 Exercise 22: Recall a matrix A = [a;;] = Mon (F) I is ·S-S. ما Mnan upper - triangular if aij = 0 where izj lover - triangular if ajj = where izj diagonal if aij =0 where i 260 للتأميلة 0 Fg. Show that if A is one of these 3 types of matrices, then det (A) = 0₁, 022 C. Onn, SJ Jab F

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...
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乃
Exercise 22: Recall a matrix A = [a;;] = Mon (F)
I is
·S-S.
ما
Mnan
upper - triangular if aij = 0 where izj
lover - triangular if ajj = where izj
diagonal if aij =0 where i
260
للتأميلة
0
Fg.
Show that if A is one of these 3 types of matrices, then
det (A) = 0₁, 022 C. Onn, SJ Jab
F
Transcribed Image Text:乃 Exercise 22: Recall a matrix A = [a;;] = Mon (F) I is ·S-S. ما Mnan upper - triangular if aij = 0 where izj lover - triangular if ajj = where izj diagonal if aij =0 where i 260 للتأميلة 0 Fg. Show that if A is one of these 3 types of matrices, then det (A) = 0₁, 022 C. Onn, SJ Jab F
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