4. 1 a) Find by Gauss elimination, the inverse of the matrix, 2 -1 -2 2. 421

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 5
4
a) Find by Gauss elimination the inverse of the matrix, 2
-1
-2 2
b) Let R, and R, be relations on a set A represented by the matrices.
(0 1 0
1 11and MR.
1 0 0/
0 1 0
0 1 1
1 1
MR.
1/
Find the matrices that represent
(i) R,OR2
(11) R R2
c) Explain whether or not the relation R on the set of all people is reflexive,
symmetric, antisymmetric, and or transitive, where (a, b) ERif and only if a
is taller than b.
2)
Transcribed Image Text:Question 5 4 a) Find by Gauss elimination the inverse of the matrix, 2 -1 -2 2 b) Let R, and R, be relations on a set A represented by the matrices. (0 1 0 1 11and MR. 1 0 0/ 0 1 0 0 1 1 1 1 MR. 1/ Find the matrices that represent (i) R,OR2 (11) R R2 c) Explain whether or not the relation R on the set of all people is reflexive, symmetric, antisymmetric, and or transitive, where (a, b) ERif and only if a is taller than b. 2)
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