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Problem No.1 Let A= 1 -2 3| and B= 1 3 Find AB and BA -4 2 5 -1 2 4

Problem No.1 Let A= 1 -2 3| and B= 1 3 Find AB and BA -4 2 5 -1 2 4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem No.1 Let A=| 1 -2 3 and B= 1 3 Find AB and BA -4 2 5 -1 2. 4 Problem No.2 Let A= 1 -1 |-1 1 and B= |1 3 a) Find the product AB b) Show that A = 4A 3 5 1 Problem No.3 2 -3 -5 A=|-1 4 5 2 -2 -4 C= |-1 3 1 -3 Let -1 3 5 B= 1 -3 -5 4 1 -3 -4 -1 3 5 -4 Find: a) AB b) ВА с) ВС d) CB e) САВ f) CT AB g) (AB)TC h) CTC )) ЗА + 4B - 5с )) с2— в2 + А2-31 Problem No.4 2 1 3 A= 1 -1 2 1 2 1 If show that A3 - 2A? - 9A = 0 but A? - 2A - 91#0 Problem No.5 0 1 0 A=0 0 1 0 0 0 10 0 0 1 0 If and B= Calculate the products AB and BA and show that A? B + B? A = A 0 0
Transcribed Image Text:Problem No.1 Let A=| 1 -2 3 and B= 1 3 Find AB and BA -4 2 5 -1 2. 4 Problem No.2 Let A= 1 -1 |-1 1 and B= |1 3 a) Find the product AB b) Show that A = 4A 3 5 1 Problem No.3 2 -3 -5 A=|-1 4 5 2 -2 -4 C= |-1 3 1 -3 Let -1 3 5 B= 1 -3 -5 4 1 -3 -4 -1 3 5 -4 Find: a) AB b) ВА с) ВС d) CB e) САВ f) CT AB g) (AB)TC h) CTC )) ЗА + 4B - 5с )) с2— в2 + А2-31 Problem No.4 2 1 3 A= 1 -1 2 1 2 1 If show that A3 - 2A? - 9A = 0 but A? - 2A - 91#0 Problem No.5 0 1 0 A=0 0 1 0 0 0 10 0 0 1 0 If and B= Calculate the products AB and BA and show that A? B + B? A = A 0 0
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