Which of the following statements is correct O A. An elementary n x n matrix has either n or n +1 nonzero entries O A and E O EThe transpose of an elementary matrix is an elementary matrix OB. H BC = BD, then C = D. O D. If A and B are n x n matrices, then (A + B)(A − B) = A² – B² OD and E OCHAC=0, then either A -0 or C-0 O Cand E
Which of the following statements is correct O A. An elementary n x n matrix has either n or n +1 nonzero entries O A and E O EThe transpose of an elementary matrix is an elementary matrix OB. H BC = BD, then C = D. O D. If A and B are n x n matrices, then (A + B)(A − B) = A² – B² OD and E OCHAC=0, then either A -0 or C-0 O Cand E
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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Transcribed Image Text:Which of the following statements is correct
O A. An elementary n x n matrix has either n or n + 1 nonzero entries
O A and E
O EThe transpose of an elementary matrix is an elementary matrix
© B. Hf BC = BD, then C = D.
O D. If A and B are ʼn × ʼn matrices, then (A + B)(A − B) = A² – B²
OD and E
OCHAC=0, then either A-0 or 0-0
O Cand E
Transcribed Image Text:Which of the following statements is (are) correct?
O A and C
OA. If AB= I, the A is invertible
OD. If A is invertible and if r0, then (A)
OCHAB=BA and if A is invertible, then A¹B = BA-¹
B. If A and B are square and invertible matrices, then AB is invertible and (AB)¹ = A-¹B¹ 1
OA and D
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