A matrix U = (Ujj) is upper triangular if uij = 0 when i >j, that is, when all the entries below the main diagonal are zero. Matrices A and B below are upper triangular. 3 -4 -1 6 -2 0 5 A² = A = AB = 0 1 0 2 B = Find the products A2 and AB. Are these products upper triangular? 10 0 0 Are the products upper triangular? O Both A2 and AB are upper triangular. O Only AB is upper triangular. O Neither A2 nor AB is upper triangular. O Only A2 is upper triangular.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A matrix U = (uj) is upper triangular if Uij = 0 when i > j, that is, when all the entries below the main diagonal are zero. Matrices A and B below are upper triangular.
10 -4 -1
] *-[
B =
6 -2
0 5
Find the products A² and AB. Are these products upper triangular?
A² =
AB=
A =
38 1
090
002
0
Are the products upper triangular?
O Both A² and AB are upper triangular.
O Only AB is upper triangular.
O Neither A² nor AB is upper triangular.
O Only A² is upper triangular.
Transcribed Image Text:A matrix U = (uj) is upper triangular if Uij = 0 when i > j, that is, when all the entries below the main diagonal are zero. Matrices A and B below are upper triangular. 10 -4 -1 ] *-[ B = 6 -2 0 5 Find the products A² and AB. Are these products upper triangular? A² = AB= A = 38 1 090 002 0 Are the products upper triangular? O Both A² and AB are upper triangular. O Only AB is upper triangular. O Neither A² nor AB is upper triangular. O Only A² is upper triangular.
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