Mathematics
Algebra
A square matrix has:
A. All zero entries
B. Only one column
C. The same number of rows and columns
D. Only one row
Correct Answer: C
A square matrix is n×n.
Mathematics
Algebra
How many entries are in a 3×4 matrix?
A. 3
B. 7
C. 12
D. 4
Correct Answer: C
3×4=12 entries.
Mathematics
Algebra
What is the order of ⎡1 2 3⎤
⎣4 5 6⎦?
A. 3×2
B. 2×3
C. 2×2
D. 3×3
Correct Answer: B
2 rows and 3 columns.
Mathematics
Algebra
Solve: x+y+z=11, x-y=2, y-z=0.
A. (6, 3, 3)
B. (5, 3, 3)
C. (3, 5, 3)
D. 0
Correct Answer: B
Use the difference equations and the total.
Mathematics
Algebra
Solve: x+y+z=11, x-y=2, y-z=−3.
A. (4, 5, 2)
B. (2, 4, 5)
C. (5, 2, 5)
D. (4, 2, 5)
Correct Answer: D
Use the difference equations and the total.
Mathematics
Algebra
Solve: x+y+z=12, x-y=−2, y-z=1.
A. (3, 5, 4)
B. (3, 4, 5)
C. (5, 3, 4)
D. (4, 5, 4)
Correct Answer: A
Use the difference equations and the total.
Mathematics
Algebra
Solve: x+y+z=9, x-y=−2, y-z=1.
A. (4, 2, 3)
B. (2, 3, 4)
C. (3, 4, 3)
D. (2, 4, 3)
Correct Answer: D
Use the difference equations and the total.
Mathematics
Algebra
Solve: x+y+z=9, x-y=−2, y-z=−2.
A. (1, 3, 5)
B. (1, 5, 3)
C. (2, 3, 5)
D. (3, 1, 5)
Correct Answer: A
Use the difference equations and the total.
Mathematics
Algebra
Solve: x+y+z=11, x-y=3, y-z=−2.
A. (5, 2, 4)
B. (6, 2, 4)
C. (2, 5, 4)
D. (5, 4, 2)
Correct Answer: A
Use the difference equations and the total.
Mathematics
Algebra
Solve: x+y+z=12, x-y=−1, y-z=2.
A. (5, 4, 3)
B. (4, 5, 3)
C. (4, 3, 5)
D. (5, 5, 3)
Correct Answer: B
Use the difference equations and the total.
Mathematics
Algebra
Solve: x+y+z=12, x-y=−1, y-z=−1.
A. (3, 5, 4)
B. (3, 4, 5)
C. (4, 3, 5)
D. (4, 4, 5)
Correct Answer: B
Use the difference equations and the total.
Mathematics
Algebra
Solve: x+y+z=9, x-y=−1, y-z=−1.
A. (2, 3, 4)
B. (2, 4, 3)
C. (3, 2, 4)
D. (3, 3, 4)
Correct Answer: A
Use the difference equations and the total.
Mathematics
Algebra
Solve: x+y+z=6, x-y=−1, y-z=−1.
A. (2, 2, 3)
B. (2, 1, 3)
C. (1, 2, 3)
D. (1, 3, 2)
Correct Answer: C
Use the difference equations and the total.
Mathematics
Algebra
How many solutions? 6x+7y=9; 12x+14y=19.
A. Exactly two
B. Infinitely many
C. No solution
D. Exactly one
Correct Answer: C
Parallel distinct lines.
Mathematics
Algebra
How many solutions? 5x+6y=8; 10x+12y=17.
A. No solution
B. Exactly two
C. Exactly one
D. Infinitely many
Correct Answer: A
Parallel distinct lines.
Mathematics
Algebra
How many solutions? 4x+5y=7; 8x+10y=15.
A. Exactly one
B. Exactly two
C. Infinitely many
D. No solution
Correct Answer: D
Parallel distinct lines.
Mathematics
Algebra
How many solutions? 3x+4y=6; 6x+8y=13.
A. Exactly one
B. Infinitely many
C. No solution
D. Exactly two
Correct Answer: C
Parallel distinct lines.
Mathematics
Algebra
How many solutions? 2x+3y=5; 4x+6y=11.
A. Exactly one
B. No solution
C. Infinitely many
D. Exactly two
Correct Answer: B
Parallel distinct lines.
Mathematics
Algebra
How many solutions? 6x+7y=9; 12x+14y=18.
A. Infinitely many
B. No solution
C. Exactly two
D. Exactly one
Correct Answer: A
The second equation is a multiple of the first.
Mathematics
Algebra
How many solutions? 5x+6y=8; 10x+12y=16.
A. Exactly two
B. Infinitely many
C. Exactly one
D. No solution
Correct Answer: B
The second equation is a multiple of the first.