Which of the following matrices corresponds to the properties "An upper triangular matrix is the transposition of a lower triangular matrix, and vice versa" given the matrix below?" 4 1 0 5 7 0 39 4 0 A=0 0 0 - 3 1 000 0 7 0 0 0 0 0 0 1 7 0 54 -300 B = 0 9 0 00 13 0 00 L4 0 0 00¹ Neither A, B, nor C Matrix A and B Matrix A and C Matrix B and C 0 4 0 13 0 C 0 9 54 L7 0 0 0₁ 00 0 00 0 0 -3 1 7 0

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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Question
Which of the following matrices
corresponds to the properties "An upper
triangular matrix is the transposition of a
lower triangular matrix, and vice versa"
given the matrix below?"
r4 1 0 5 7
039 4 0
A 0 0 0 - 3 1
000 0 7
LO 00
0 0
r7 0
1 7 01
54
B=0 9
13
L4 0 0 0 0
- 300
0 00
0 00
Neither A, B, nor C
Matrix A and B
Matrix A and C
Matrix B and C
r4 0
13
C = 0 9
54
L7 0
0
0
0
0 0
00
00
-300
1 7 0-
Transcribed Image Text:Which of the following matrices corresponds to the properties "An upper triangular matrix is the transposition of a lower triangular matrix, and vice versa" given the matrix below?" r4 1 0 5 7 039 4 0 A 0 0 0 - 3 1 000 0 7 LO 00 0 0 r7 0 1 7 01 54 B=0 9 13 L4 0 0 0 0 - 300 0 00 0 00 Neither A, B, nor C Matrix A and B Matrix A and C Matrix B and C r4 0 13 C = 0 9 54 L7 0 0 0 0 0 0 00 00 -300 1 7 0-
Which of the following matrices has the
same determinants?
[3 10 15 7
0 19
12
0
- 12 1
4 7
A=0 0 1
000
LO 0 0 0
4 1 0 10 7
8 0
039
C= 0 0 3 -9 1
0 0 0 1 7
¹0
000
B=
B:
0 0 0
0
00
2 00
54 - 320
L21 0
4 21 3-
1 0
13
09
0
3 1 05 7
0 3 81 4 0
- 3 1
2 7
0 2-
D=002
000
0 0 0
Transcribed Image Text:Which of the following matrices has the same determinants? [3 10 15 7 0 19 12 0 - 12 1 4 7 A=0 0 1 000 LO 0 0 0 4 1 0 10 7 8 0 039 C= 0 0 3 -9 1 0 0 0 1 7 ¹0 000 B= B: 0 0 0 0 00 2 00 54 - 320 L21 0 4 21 3- 1 0 13 09 0 3 1 05 7 0 3 81 4 0 - 3 1 2 7 0 2- D=002 000 0 0 0
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