et A and B be two matrices of the same order, then state whether the g true or false. A + B + B+ A a. True b. False it exists, find the inverse of the matrix A below --[54] 15 114 15 O 84 he differential equation dx a. Linear b. Nonlinear B)-286 0 ompute the determinant of the matrix by cofactor expansion 115 115 C) 286 2+x²y=2x+3, y(0)=5 is c. Linear with Fixed constants d. undeterminable to be linear or nonlinear dy=sin x he solution of the differential equation dx x (1990 115 55

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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Could you guys please solve these multiply choice tests ?! You can just select the right answer by selecting abcd
1. Let A and B be two matrices of the same order, then state whether the given statement
is true or false. A+B+B+ A
a.
True
b. False
2. If it exists, find the inverse of the matrix A below
A-[54]
A=
A)
A) 1084
3. Compute the determinant of the matrix by cofactor expansion
427
935
794
4. The differential equation dx
a. Linear
b. Nonlinear
B)
b. 2
c. 4
d. √5
c. Linear with Fixed constants
d. undeterminable to be linear or nonlinear
6. The amplitude of Z=1+√3iis
a. √2
7. The value of (-i)¹/3 is
1+ √3i
2
a.
B) -286
b.
C)
C.
2+x²y=2x+3, y(0)=5₁
is
d.
5. The solution of the differential equation dx x
(a) x(y+cos x)=sinx+c (b) x(y-cosx)=sinx+c (c) x(y+cosx)=cosx+c (d) none of these
C) 286
dy y
+=sin x
D)
H
is
1-√3i
2
1+√36
2
-1-√3
2
e.
-1+√3
2
8. Which among the following is a unique model of a system?
a. Transfer function
b. State variable
c. Block diagram
d. Signal Flow graphs
9. What is the magnitude of exp(2+3j)?
a. exp(2)
b. exp(3)
c. exp(2.3)
d. exp(3.2)
D) 146
Transcribed Image Text:1. Let A and B be two matrices of the same order, then state whether the given statement is true or false. A+B+B+ A a. True b. False 2. If it exists, find the inverse of the matrix A below A-[54] A= A) A) 1084 3. Compute the determinant of the matrix by cofactor expansion 427 935 794 4. The differential equation dx a. Linear b. Nonlinear B) b. 2 c. 4 d. √5 c. Linear with Fixed constants d. undeterminable to be linear or nonlinear 6. The amplitude of Z=1+√3iis a. √2 7. The value of (-i)¹/3 is 1+ √3i 2 a. B) -286 b. C) C. 2+x²y=2x+3, y(0)=5₁ is d. 5. The solution of the differential equation dx x (a) x(y+cos x)=sinx+c (b) x(y-cosx)=sinx+c (c) x(y+cosx)=cosx+c (d) none of these C) 286 dy y +=sin x D) H is 1-√3i 2 1+√36 2 -1-√3 2 e. -1+√3 2 8. Which among the following is a unique model of a system? a. Transfer function b. State variable c. Block diagram d. Signal Flow graphs 9. What is the magnitude of exp(2+3j)? a. exp(2) b. exp(3) c. exp(2.3) d. exp(3.2) D) 146
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