1.State whether or not the given matrix is (a) upper triangular, (b) lowertriangular, (c) diagonal, (d) scalar, or (e) identity matrix.1. 0 cos 2nIn eli1.1+2.1-1i00-1 20 03.7 0 7 0i 30 1I.find DA and AD, if possible, where D = D,(3,0,2, –1) and A is the givenmatrix.2i0 1 3110 1+i 8 0-iA =1IfA = 3.II.*1 *2]And X =Solve each of the following equations:1. (d) (B – 1)x = IC(e) Cx = AIV.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. 0-24 -4 +i3.4-21014102. Lecture Worksheet 2Solve 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 2-111D = L1[2 4 21-1C =l13 1]2If possible, find a single matrix equal to the following:22. (а)[-1 2 -2 1]- [10]|-2非30 -11 [2 1][11(c) | 01112-1 01Find values (if any) of the unknowns x and y which satisfy the following matrixequations:[3 -2]330 = |3y 3y[y y]Lx43. 3х.L2l10 10]

Note: We will be answering 1 question of your sheet. As you haven't mentioned which question you…

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

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter11: Matrices And Determinants

Section11.CR: Chapter Review

Problem 10CC

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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.

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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