1. State whether or not the given matrix is (a) upper triangular, (b) lower triangular, (c) diagonal, (d) scalar, or (e) identity matrix. 1. o cos 2n 01 In el 1 1+i 2 2. -1 Lo o 2 0 0 0 -1 2 0 3. 7. 7 0 3 0 1
1. State whether or not the given matrix is (a) upper triangular, (b) lower triangular, (c) diagonal, (d) scalar, or (e) identity matrix. 1. o cos 2n 01 In el 1 1+i 2 2. -1 Lo o 2 0 0 0 -1 2 0 3. 7. 7 0 3 0 1
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
![1.
State whether or not the given matrix is (a) upper triangular, (b) lower
triangular, (c) diagonal, (d) scalar, or (e) identity matrix.
1. 0 cos 2n
In el
i
1.
1+
2.
1
-1
i
00
-1 20 0
3.
7 0 7 0
i 30 1
I.
find DA and AD, if possible, where D = D,(3,0,2, –1) and A is the given
matrix.
2i
0 1 311
0 1+i 8 0
-i
A =
1
IfA = 3.
II.
*1 *2]
And X =
Solve each of the following equations:
1. (d) (B – 1)x = IC
(e) Cx = A
IV.
Classify each of the following matrices according as it is (a) real, (b)
symmetric, (c) skew-symmetric, (d) Hermitian, or (e) skew-hermitian,
and identify its principal and secondary diagonals.
1. 0
-2
4 -
4 +i
3.
4
-2
10
14
10
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8880131e-3002-453e-8ddb-ab19076701e7%2F9fe1cdb2-7e49-49c5-a0df-1e95712e8b79%2Fgx749qo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.
State whether or not the given matrix is (a) upper triangular, (b) lower
triangular, (c) diagonal, (d) scalar, or (e) identity matrix.
1. 0 cos 2n
In el
i
1.
1+
2.
1
-1
i
00
-1 20 0
3.
7 0 7 0
i 30 1
I.
find DA and AD, if possible, where D = D,(3,0,2, –1) and A is the given
matrix.
2i
0 1 311
0 1+i 8 0
-i
A =
1
IfA = 3.
II.
*1 *2]
And X =
Solve each of the following equations:
1. (d) (B – 1)x = IC
(e) Cx = A
IV.
Classify each of the following matrices according as it is (a) real, (b)
symmetric, (c) skew-symmetric, (d) Hermitian, or (e) skew-hermitian,
and identify its principal and secondary diagonals.
1. 0
-2
4 -
4 +i
3.
4
-2
10
14
10
2.
![Lecture Worksheet 2
Solve the following problems systematically. Send your solution in the GClassroom.
Find all numbers z such that Az3 + Bz² + Cz = D
[2 4 2]
1. A= [1 3 .
B = G 2
-1
1
1
D = L1
[2 4 21
-1
C =
l1
3 1]
2
If possible, find a single matrix equal to the following:
2
2. (а)
[-1 2 -2 1]
- [10]
|
-2
非3
0 -11 [2 1]
[1
1
(c) | 0
1
1
12
-1 0
1
Find values (if any) of the unknowns x and y which satisfy the following matrix
equations:
[3 -2]
3
3
0 = |3y 3y
[y y]
Lx
4
3. 3
х.
L2
l10 10]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8880131e-3002-453e-8ddb-ab19076701e7%2F9fe1cdb2-7e49-49c5-a0df-1e95712e8b79%2Fj159mmx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Lecture Worksheet 2
Solve the following problems systematically. Send your solution in the GClassroom.
Find all numbers z such that Az3 + Bz² + Cz = D
[2 4 2]
1. A= [1 3 .
B = G 2
-1
1
1
D = L1
[2 4 21
-1
C =
l1
3 1]
2
If possible, find a single matrix equal to the following:
2
2. (а)
[-1 2 -2 1]
- [10]
|
-2
非3
0 -11 [2 1]
[1
1
(c) | 0
1
1
12
-1 0
1
Find values (if any) of the unknowns x and y which satisfy the following matrix
equations:
[3 -2]
3
3
0 = |3y 3y
[y y]
Lx
4
3. 3
х.
L2
l10 10]
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