0 1 Q29. If A = , then the matrix is definite (b) negative definite (c) positive semi definite (d) negative semi definite (e) none
0 1 Q29. If A = , then the matrix is definite (b) negative definite (c) positive semi definite (d) negative semi definite (e) none
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Q29. If A =
, then the matrix is
((a)positive definite (b) negative definite (c) positive semi definite (d) negative semi definite (e) none
* Consider
to answer the following two questions.
1 a
Q30. The system has unique solution if
(a)a *j (b) a # -j (c) a #1 (d) a ± -1 (e) none
Q31. The system has many solutions if
(a) a =-j and B=-1 (b) a = -j and ß = 1
(d) a =-j and B =-j (e) none
) a + -1 (e) none
(c) a = j and ß = -1
1+j]
and y=|2-3j , then the value of a such that x Iy is
2j
Q32. Suppose x= i
(a) j (b) -j (c)) +j
Q33.The smallest number of zeros in any 4 by 4 singular matrix is
(a)4 (b) 6 (c) 8 (d) 10 (e) 2
Q34. Suppose the matrix A BC, where BeR and CeR
rank(A) S4 (b) rank(A) S3
Q35.If the matrix A is n by n and 24=72 and (34)=3, then the value of n is
(a)2 (b) 3 (c)4 (d)s (e) 6
Q36.If u and v are unit real vectors and u-2v 3, then the angle between them is ( in degrees)
(a)30 (b) 45 (c)60 (d) 90 (e) 120
Q37.One of the following is a vector space
(a)all n by n nonsingular matrices (b) all n by n singular matrices
(c) all n by n matrices (dall the above
(d) 1-j (e) none
, then
(c) rank(A) = 4 (d) rank(A) = 3 (c) none
%3D
(e) none
0.5 2
Q38. If the matrix A=
then A as k-→ co is
0.7
(a)
(b)
(d)
0 0
0 0
0 0
(e) none](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3aad0166-4cf9-49b7-9a17-e67e9c798d14%2Fe4d9dd07-aee9-43c1-9649-42e4952c5c3a%2Fzbmk8do_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q29. If A =
, then the matrix is
((a)positive definite (b) negative definite (c) positive semi definite (d) negative semi definite (e) none
* Consider
to answer the following two questions.
1 a
Q30. The system has unique solution if
(a)a *j (b) a # -j (c) a #1 (d) a ± -1 (e) none
Q31. The system has many solutions if
(a) a =-j and B=-1 (b) a = -j and ß = 1
(d) a =-j and B =-j (e) none
) a + -1 (e) none
(c) a = j and ß = -1
1+j]
and y=|2-3j , then the value of a such that x Iy is
2j
Q32. Suppose x= i
(a) j (b) -j (c)) +j
Q33.The smallest number of zeros in any 4 by 4 singular matrix is
(a)4 (b) 6 (c) 8 (d) 10 (e) 2
Q34. Suppose the matrix A BC, where BeR and CeR
rank(A) S4 (b) rank(A) S3
Q35.If the matrix A is n by n and 24=72 and (34)=3, then the value of n is
(a)2 (b) 3 (c)4 (d)s (e) 6
Q36.If u and v are unit real vectors and u-2v 3, then the angle between them is ( in degrees)
(a)30 (b) 45 (c)60 (d) 90 (e) 120
Q37.One of the following is a vector space
(a)all n by n nonsingular matrices (b) all n by n singular matrices
(c) all n by n matrices (dall the above
(d) 1-j (e) none
, then
(c) rank(A) = 4 (d) rank(A) = 3 (c) none
%3D
(e) none
0.5 2
Q38. If the matrix A=
then A as k-→ co is
0.7
(a)
(b)
(d)
0 0
0 0
0 0
(e) none
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