1. Let A = [-5 8] and B = [9 - 4]. Find A + B. A. [3 5] в. (4 4] c. [-14 12] D. [-9 17]

Algebra: Structure And Method, Book 1
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Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.4: Translating Words Into Symbols
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1. Let A = [-5 8 and B = 9 -4]. Find A + B.
А. [3 5]
в. [4 4]
c. [-14 12]
D. [-9 17]
x+5 Зу + 2
2х + 3 у-4
and D =
w +1
2. If C =
2z +4
z+1
2w – 3
find w, x, y, and z respectively given that C = D.
А. 4, 2, -3, -3
В. 2, 4, -3, -3
С. 4, -3, 2, -3
D. -3, -3, 2, 4
3. Compute the matrix product E F if
E =
4
and
1
2 0
F =
1 1
[- 2
А.
2
С.
-69
1
21
-8
В.
4
D.
3
4
1
4. If G is a 3 x 1 matrix while H is a 1 x 3 matrix then
A. GH is 3 x 3, HG is 1 x 1.
B. GH is 1 x 1, HG is 3 x 3.
C. GH is 3 x 3, HG is undefined.
D. GH is undefined, HG is 1 x 1.
[1 1 1
5. What is the inverse of I =|2
1
1?
2 2 3
1
1
1
A. I' does not exist.
C. % 1
1
-1
1
В. |— 2
-1
-1
D.
4
-1 -
2 -2 -3
- 2
1
[3 -7
4
6. Compute for the determinant of J = 0
6
9.
-1
А. -81
В. -45
С. -18
D. 18
Transcribed Image Text:1. Let A = [-5 8 and B = 9 -4]. Find A + B. А. [3 5] в. [4 4] c. [-14 12] D. [-9 17] x+5 Зу + 2 2х + 3 у-4 and D = w +1 2. If C = 2z +4 z+1 2w – 3 find w, x, y, and z respectively given that C = D. А. 4, 2, -3, -3 В. 2, 4, -3, -3 С. 4, -3, 2, -3 D. -3, -3, 2, 4 3. Compute the matrix product E F if E = 4 and 1 2 0 F = 1 1 [- 2 А. 2 С. -69 1 21 -8 В. 4 D. 3 4 1 4. If G is a 3 x 1 matrix while H is a 1 x 3 matrix then A. GH is 3 x 3, HG is 1 x 1. B. GH is 1 x 1, HG is 3 x 3. C. GH is 3 x 3, HG is undefined. D. GH is undefined, HG is 1 x 1. [1 1 1 5. What is the inverse of I =|2 1 1? 2 2 3 1 1 1 A. I' does not exist. C. % 1 1 -1 1 В. |— 2 -1 -1 D. 4 -1 - 2 -2 -3 - 2 1 [3 -7 4 6. Compute for the determinant of J = 0 6 9. -1 А. -81 В. -45 С. -18 D. 18
7.
Which of the following matrices has a determinant of 1?
1 0
В.
1
A.
С.
D.
1
1
1
8. Solve the system of equations:
4A — В + 3С - 12;
2A + 9C = -5; and A + 4B + 6C = -32.
А. (2, 7, -1)
В. (2, 7, 1)
у —4
С. (2, -7, 1)
D. (2, -7, -1)
2w – 3
9. Solve the system of equations: x - y + 3z = -8; 2x + z = 0;
and x + 5y + z = 40.
А. (-8, 0, 0)
С. (0, -8, -8)
В. (0, -8, 0)
D. (8, 8, 0)
and
1
10. -9
A. V3 i
В. Зі
С.-3 і
D. -V3 i
11. (5 – 6 i) + (9 + 9 i)
A. 14 + 3 i
С.-14 — 3і
В. 14 — 3і
D. -4 + 15 i
12. (7 + V-4) (4 + v=64)
A. 108 i
С. 12 + 64i
В. 108
D. 284 + 464i
13. (8 — 6 1)(-5 — 3 і)
А. — 22 — 54i
С.-58 — 54i
В. — 22 + 6і
D. -58 + 6 i
10i
14. Divide and express the result in standard form:
3+i
А. —1 + 3i
С.1 — 3і
B. 1 + 10i
D. 1 + 3 i
15. Solve the equation: x? + 81 = 0.
A. (9}
С. (-91, 9i)
В. (-9, 9}
D.{9i}
Transcribed Image Text:7. Which of the following matrices has a determinant of 1? 1 0 В. 1 A. С. D. 1 1 1 8. Solve the system of equations: 4A — В + 3С - 12; 2A + 9C = -5; and A + 4B + 6C = -32. А. (2, 7, -1) В. (2, 7, 1) у —4 С. (2, -7, 1) D. (2, -7, -1) 2w – 3 9. Solve the system of equations: x - y + 3z = -8; 2x + z = 0; and x + 5y + z = 40. А. (-8, 0, 0) С. (0, -8, -8) В. (0, -8, 0) D. (8, 8, 0) and 1 10. -9 A. V3 i В. Зі С.-3 і D. -V3 i 11. (5 – 6 i) + (9 + 9 i) A. 14 + 3 i С.-14 — 3і В. 14 — 3і D. -4 + 15 i 12. (7 + V-4) (4 + v=64) A. 108 i С. 12 + 64i В. 108 D. 284 + 464i 13. (8 — 6 1)(-5 — 3 і) А. — 22 — 54i С.-58 — 54i В. — 22 + 6і D. -58 + 6 i 10i 14. Divide and express the result in standard form: 3+i А. —1 + 3i С.1 — 3і B. 1 + 10i D. 1 + 3 i 15. Solve the equation: x? + 81 = 0. A. (9} С. (-91, 9i) В. (-9, 9} D.{9i}
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