1. Solve for x and y in xy + 8 + j(x2y + y) = 4x + 4 + j(xy² + x) A. 2, 2, B. 2,3 C. 3,2 2. Determine the principal value of (3+j4)¹+j² A. 0.42 +0.56 C. -0.42-j0.66, B. 0.42+j0.66 D. 0.42-j0.66 3. Using the properties of complex numbers, determine the two square roots of 3-j2 A. +1,82+j0.55, C. 1.82±j0.55 B. +1.82±j0.55 D. +1.82 + j0.55 4. Evaluate: ERE CALC 3-14 3+14 + 3+j4 3-j4 A. 2.44 +j4/ C.-2.44+j4 D. 2.44+j5 B. 2.44-j4 5. Evaluate log; (3 + j4). A. 0.6+j1.02 C.-0.6-j1.02 D. 0.6-j1.02, B. -0.6+j1.02 6. The following three vectors are given; A = 20 +j20, B = 30/120° and C= 10+ j0, find AB/C B. 85-75% C. 95/-50° D. 75/70 A. 70/45° 7. If 100+5x45° = 200/-e. Find x and 0. D. 23, 42.8 C. 23.28. 24.3% A. 24. 23.28 B. 23.28. 32.3° 8. C. In j5 Determine the principal value of cosh (j0.5). A. In (1+j5) B. In (1± √5), D. In j(1 + √5) 2 5 9. In A-2B-C-0. if A and B= find C 3 3 4 8 -3 3 C. 4:1 A. 1 0 3 0 -3 1-8 3 D. B. 3 0 10. Solve for a and b from the given matrix equation below 1 2 2 - 3 ²||²| b 3 A. 42.36 B. 6. 12 +3+j4 1 2 8 -3 -8 -3 C. 6. 18 D. 3,4 D. 48.36

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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Question
1. Solve for x and y in xy + 8 + j(x²y + y) = 4x + 4 + j(xy² + x)
A. 2, 2,
B. 2,3
C. 3, 2
2. Determine the principal value of (3 + j4)¹ +²
+j2
A. 0.42+j0.56
C. -0.42-j0.66,
B. 0.42+j0.66
D. 0.42-j0.66
3. Using the properties of complex numbers. determine the two square roots of 3-j2
A. +1.82+j0.55,
C. 1.82 + j0.55
B. +1.82±j0.55
D. +1.82 + j0.55
4. Evaluate:
BE CALC
3-14 3+14
+
3+j4
3-j4
A. 2.44 +j4/
B. 2.44-j4
C. -2.44 + j4
D. 2.44 +j5
Evaluate log; (3 + j4).
A. 0.6+j1.02
C. -0.6-j1.02
B. -0.6+j1.02
D. 0.6-j1.02,
6.
The following three vectors are given; A = 20 +j20, B = 30/120° and C= 10+ j0, find AB/C
C. 95/-50°
B. 85-75%
A. 70/45°
D. 75/70"
7. If 100+5x/45° = 200/-e. Find x and 8.
A. 24. 23.28
B. 23.28. 32.3°
C. 23.28. 24.3%
D. 23, 42.8°
8. Determine the principal value of cosh' (j0.5).
A. In (1+j5)
C. In j5
B. In (1± √5),
D. In j(1 + √5)
2
5 1
=
9. In A-2B-C=0. if A=
2B-C-0. if A- and B-₁ find C
|² -1
3
2
3
8
-3
8
3
91
C.
A.
3
0
0
-3
-8
-8
-3
3
D.
B.
|
3 0
-3
10. Solve for a and b from the given matrix equation below
1 2
2
3
b
3
1
6
A. 42. 36/
B. 6. 12
C. 6. 18
5.
+ 3+j4
D. 3,4
D. 48.36
Transcribed Image Text:1. Solve for x and y in xy + 8 + j(x²y + y) = 4x + 4 + j(xy² + x) A. 2, 2, B. 2,3 C. 3, 2 2. Determine the principal value of (3 + j4)¹ +² +j2 A. 0.42+j0.56 C. -0.42-j0.66, B. 0.42+j0.66 D. 0.42-j0.66 3. Using the properties of complex numbers. determine the two square roots of 3-j2 A. +1.82+j0.55, C. 1.82 + j0.55 B. +1.82±j0.55 D. +1.82 + j0.55 4. Evaluate: BE CALC 3-14 3+14 + 3+j4 3-j4 A. 2.44 +j4/ B. 2.44-j4 C. -2.44 + j4 D. 2.44 +j5 Evaluate log; (3 + j4). A. 0.6+j1.02 C. -0.6-j1.02 B. -0.6+j1.02 D. 0.6-j1.02, 6. The following three vectors are given; A = 20 +j20, B = 30/120° and C= 10+ j0, find AB/C C. 95/-50° B. 85-75% A. 70/45° D. 75/70" 7. If 100+5x/45° = 200/-e. Find x and 8. A. 24. 23.28 B. 23.28. 32.3° C. 23.28. 24.3% D. 23, 42.8° 8. Determine the principal value of cosh' (j0.5). A. In (1+j5) C. In j5 B. In (1± √5), D. In j(1 + √5) 2 5 1 = 9. In A-2B-C=0. if A= 2B-C-0. if A- and B-₁ find C |² -1 3 2 3 8 -3 8 3 91 C. A. 3 0 0 -3 -8 -8 -3 3 D. B. | 3 0 -3 10. Solve for a and b from the given matrix equation below 1 2 2 3 b 3 1 6 A. 42. 36/ B. 6. 12 C. 6. 18 5. + 3+j4 D. 3,4 D. 48.36
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