CSS - PMS - CCE - PCS - Mathematics
Algebra
Add ⎡5 6⎤
⎣7 8⎦ and ⎡2 1⎤
⎣1 2⎦.
A. ⎡7 7⎤
⎣8 10⎦
B. ⎡3 5⎤
⎣6 6⎦
C. ⎡7 7⎤
⎣9 9⎦
D. ⎡10 6⎤
⎣7 16⎦
Correct Answer: A
Add corresponding entries.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Add ⎡4 5⎤
⎣6 7⎦ and ⎡2 1⎤
⎣1 2⎦.
A. ⎡6 6⎤
⎣7 9⎦
B. ⎡6 6⎤
⎣8 8⎦
C. ⎡2 4⎤
⎣5 5⎦
D. ⎡8 5⎤
⎣6 14⎦
Correct Answer: A
Add corresponding entries.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Add ⎡3 4⎤
⎣5 6⎦ and ⎡2 1⎤
⎣1 2⎦.
A. ⎡5 5⎤
⎣6 8⎦
B. ⎡1 3⎤
⎣4 4⎦
C. ⎡5 5⎤
⎣7 7⎦
D. ⎡6 4⎤
⎣5 12⎦
Correct Answer: A
Add corresponding entries.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Add ⎡2 3⎤
⎣4 5⎦ and ⎡2 1⎤
⎣1 2⎦.
A. ⎡4 4⎤
⎣6 6⎦
B. ⎡0 2⎤
⎣3 3⎦
C. ⎡4 3⎤
⎣4 10⎦
D. ⎡4 4⎤
⎣5 7⎦
Correct Answer: D
Add corresponding entries.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Add ⎡1 2⎤
⎣3 4⎦ and ⎡2 1⎤
⎣1 2⎦.
A. ⎡-1 1⎤
⎣2 2⎦
B. ⎡3 3⎤
⎣5 5⎦
C. ⎡2 2⎤
⎣3 8⎦
D. ⎡3 3⎤
⎣4 6⎦
Correct Answer: D
Add corresponding entries.
CSS - PMS - CCE - PCS - Mathematics
Algebra
The determinant is defined for:
A. Only row matrices
B. All rectangular matrices
C. Only column matrices
D. Square matrices
Correct Answer: D
Determinants apply to square matrices.
CSS - PMS - CCE - PCS - Mathematics
Algebra
The transpose of a matrix is formed by:
A. Changing every sign
B. Interchanging rows and columns
C. Taking reciprocals
D. Finding determinants
Correct Answer: B
Rows become columns.
CSS - PMS - CCE - PCS - Mathematics
Algebra
For AB to exist, columns of A must equal:
A. Columns of B
B. Rows of A
C. det(B)
D. Rows of B
Correct Answer: D
Inner dimensions must match.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Two matrices can be added when they have:
A. The same determinant
B. The same order
C. The same first row
D. Only square order
Correct Answer: B
Corresponding entries must exist.
CSS - PMS - CCE - PCS - Mathematics
Algebra
A zero matrix contains:
A. Only ones
B. Equal rows and columns only
C. No entries
D. Only zeros
Correct Answer: D
Every entry is 0.
CSS - PMS - CCE - PCS - Mathematics
Algebra
What is the identity matrix of order 2?
A. ⎡0 1⎤
⎣1 0⎦
B. ⎡1 0⎤
⎣0 1⎦
C. ⎡1 1⎤
⎣1 1⎦
D. ⎡0 0⎤
⎣0 0⎦
Correct Answer: B
1s on the main diagonal, 0s elsewhere.
CSS - PMS - CCE - PCS - Mathematics
Algebra
The main diagonal of ⎡a b⎤
⎣c d⎦ contains:
A. c and d
B. a and b
C. a and d
D. b and c
Correct Answer: C
Top-left to bottom-right.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.