Problem #1: Enter the following 3 matrices into Matlab, -39 -34 21 2 27 -11 49 -21 -13 B = -38 -47 -5 -29 30 -33 -3 Problem #1(a): Problem #1(b): Problem #1(c): 15 -25 A = -45 -19 -15 -29 -27 -10 -2 18 -18 30 ATCB = -15 8 -28 C= -24 33 15 To check that you have correctly entered these matrices into Matlab, verify that -12061 27697 -55305 65060 23253 -93350 18006 -31009 91881 16378 25851 28413 5940 44550 -14410 14785 and that tr (ATCB) = 7420. -28 -48 31 2 (a) Let D = CBAT. Find d53 (i.e., find the entry in row 5, column 3 of the matrix D) (b) Let E= ABTCT. Find tr (E) (c) Let F be the reduced row echelon form of ATCB. Find f₁4. (i.e., find the entry in row 1, column 4, of the reduced row echelon form of ATCB).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem #1: Enter the following 3 matrices into Matlab,
Problem #1(a):
Problem #1(b):
Problem #1(c):
15
-25
A = -45
-19
-29
-39 -34 21
27
-11 2
49 -21 -13
-38
-47 -5
30 -33 -3
ATCB =
B =
-15 -29 -27 -10
-2 18 -18 30
-15
-28
C = -24
33
15
To check that you have correctly entered these matrices into Matlab, verify that
-12061 27697 -55305 65060
23253 -31009 91881 -93350
18006 16378 44550 -14410
25851 28413
5940
14785
and that tr (ATCB) = 7420.
8
-28
-48
31
2
(a) Let D = CBAT. Find d53 (i.e., find the entry in row 5, column 3 of the matrix D)
(b) Let E= ABTCT. Find tr (E)
(c) Let F be the reduced row echelon form of ATCB. Find f₁4. (i.e., find the entry in row 1, column 4, of the
reduced row echelon form of ATCB).
Transcribed Image Text:Problem #1: Enter the following 3 matrices into Matlab, Problem #1(a): Problem #1(b): Problem #1(c): 15 -25 A = -45 -19 -29 -39 -34 21 27 -11 2 49 -21 -13 -38 -47 -5 30 -33 -3 ATCB = B = -15 -29 -27 -10 -2 18 -18 30 -15 -28 C = -24 33 15 To check that you have correctly entered these matrices into Matlab, verify that -12061 27697 -55305 65060 23253 -31009 91881 -93350 18006 16378 44550 -14410 25851 28413 5940 14785 and that tr (ATCB) = 7420. 8 -28 -48 31 2 (a) Let D = CBAT. Find d53 (i.e., find the entry in row 5, column 3 of the matrix D) (b) Let E= ABTCT. Find tr (E) (c) Let F be the reduced row echelon form of ATCB. Find f₁4. (i.e., find the entry in row 1, column 4, of the reduced row echelon form of ATCB).
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