32. Let T: P, → P, be the map given by T(p(x)) = p'(t) dt. If the matrix of T relative to the standard basis B, = B, = {1, x, x, x} is M and M denotes the transpose of the matrix M, then M+ M is %3! %3D 0. 0 -1 -1 -1 -1 0 2 -1 2 -1 1 (a) -1 0 2 (b) 1 -1 -1 2 2 -1 2 0 0 0 -1 0 2 2 2 2 (d) -1 (c) 0 1 -1 0 -1 -1 0 -1 2 0 0 -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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32. Let T : P, → P, be the map given by T(p(x))
= p'(t) dt. If the matrix of T relative to the standard
basis B, = B, = {1, x, x, r} is M and M denotes the
transpose of the matrix M, then M + M is
%3D
%3D
0 -1 -1
-1
2
-1
2
0 -1
1
(a)
-1
(b)
2
1
-1 0
-1 0
2
2
-1
2
0 2
2
0 2
(c)
2 -1
(d)
2 0
1
-1
-1
-1 0 -1
2 0 0 -1
N O T O
Transcribed Image Text:Instant answer within 5 minutes please don't waste my turn 32. Let T : P, → P, be the map given by T(p(x)) = p'(t) dt. If the matrix of T relative to the standard basis B, = B, = {1, x, x, r} is M and M denotes the transpose of the matrix M, then M + M is %3D %3D 0 -1 -1 -1 2 -1 2 0 -1 1 (a) -1 (b) 2 1 -1 0 -1 0 2 2 -1 2 0 2 2 0 2 (c) 2 -1 (d) 2 0 1 -1 -1 -1 0 -1 2 0 0 -1 N O T O
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