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Mathematics MCQs

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Mathematics MCQs With Answers

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Mathematics Algebra
Find det(⎡4 3⎤ ⎣5 6⎦).
A. 11
B. 9
C. 10
D. 8
Correct Answer: B
det=ad-bc=4×6-3×5=9.
Mathematics Algebra
Find det(⎡3 2⎤ ⎣4 5⎦).
A. 6
B. 9
C. 8
D. 7
Correct Answer: D
det=ad-bc=3×5-2×4=7.
Mathematics Algebra
Find det(⎡2 1⎤ ⎣3 4⎦).
A. 7
B. 4
C. 5
D. 6
Correct Answer: C
det=ad-bc=2×4-1×3=5.
Mathematics Algebra
Add ⎡10 11⎤ ⎣12 13⎦ and ⎡2 1⎤ ⎣1 2⎦.
A. ⎡20 11⎤ ⎣12 26⎦
B. ⎡8 10⎤ ⎣11 11⎦
C. ⎡12 12⎤ ⎣13 15⎦
D. ⎡12 12⎤ ⎣14 14⎦
Correct Answer: C
Add corresponding entries.
Mathematics Algebra
Add ⎡9 10⎤ ⎣11 12⎦ and ⎡2 1⎤ ⎣1 2⎦.
A. ⎡11 11⎤ ⎣13 13⎦
B. ⎡18 10⎤ ⎣11 24⎦
C. ⎡11 11⎤ ⎣12 14⎦
D. ⎡7 9⎤ ⎣10 10⎦
Correct Answer: C
Add corresponding entries.
Mathematics Algebra
Add ⎡8 9⎤ ⎣10 11⎦ and ⎡2 1⎤ ⎣1 2⎦.
A. ⎡6 8⎤ ⎣9 9⎦
B. ⎡10 10⎤ ⎣12 12⎦
C. ⎡16 9⎤ ⎣10 22⎦
D. ⎡10 10⎤ ⎣11 13⎦
Correct Answer: D
Add corresponding entries.
Mathematics Algebra
Add ⎡7 8⎤ ⎣9 10⎦ and ⎡2 1⎤ ⎣1 2⎦.
A. ⎡9 9⎤ ⎣10 12⎦
B. ⎡9 9⎤ ⎣11 11⎦
C. ⎡5 7⎤ ⎣8 8⎦
D. ⎡14 8⎤ ⎣9 20⎦
Correct Answer: A
Add corresponding entries.
Mathematics Algebra
Add ⎡6 7⎤ ⎣8 9⎦ and ⎡2 1⎤ ⎣1 2⎦.
A. ⎡4 6⎤ ⎣7 7⎦
B. ⎡12 7⎤ ⎣8 18⎦
C. ⎡8 8⎤ ⎣9 11⎦
D. ⎡8 8⎤ ⎣10 10⎦
Correct Answer: C
Add corresponding entries.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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