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Algebra MCQs

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Algebra MCQs With Answers

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CSS - PMS - CCE - PCS - Mathematics Algebra
The matrix ⎡5 10⎤ ⎣1 2⎦ is:
A. Singular
B. Nonsingular
C. Zero matrix
D. Identity
Correct Answer: A
Its determinant is zero, so it is singular.
CSS - PMS - CCE - PCS - Mathematics Algebra
The diagonal matrix ⎡4 0⎤ ⎣0 5⎦ is:
A. Identity
B. Nonsingular
C. Zero matrix
D. Singular
Correct Answer: B
Its determinant is nonzero, so it is nonsingular.
CSS - PMS - CCE - PCS - Mathematics Algebra
The matrix ⎡3 6⎤ ⎣1 2⎦ is:
A. Zero matrix
B. Singular
C. Nonsingular
D. Identity
Correct Answer: B
Its determinant is zero, so it is singular.
CSS - PMS - CCE - PCS - Mathematics Algebra
The diagonal matrix ⎡2 0⎤ ⎣0 3⎦ is:
A. Nonsingular
B. Singular
C. Identity
D. Zero matrix
Correct Answer: A
Its determinant is nonzero, so it is nonsingular.
CSS - PMS - CCE - PCS - Mathematics Algebra
The matrix ⎡1 2⎤ ⎣1 2⎦ is:
A. Nonsingular
B. Zero matrix
C. Singular
D. Identity
Correct Answer: C
Its determinant is zero, so it is singular.
CSS - PMS - CCE - PCS - Mathematics Algebra
What is the inverse of diagonal matrix ⎡6 0⎤ ⎣0 7⎦?
A. ⎡1⁄7 0⎤ ⎣0 1⁄6⎦
B. ⎡6 0⎤ ⎣0 7⎦
C. ⎡1⁄6 0⎤ ⎣0 1⁄7⎦
D. ⎡0 0⎤ ⎣0 0⎦
Correct Answer: C
The inverse of a nonzero diagonal matrix has reciprocal diagonal entries.
CSS - PMS - CCE - PCS - Mathematics Algebra
What is the inverse of diagonal matrix ⎡5 0⎤ ⎣0 6⎦?
A. ⎡1⁄6 0⎤ ⎣0 1⁄5⎦
B. ⎡0 0⎤ ⎣0 0⎦
C. ⎡5 0⎤ ⎣0 6⎦
D. ⎡1⁄5 0⎤ ⎣0 1⁄6⎦
Correct Answer: D
The inverse of a nonzero diagonal matrix has reciprocal diagonal entries.
CSS - PMS - CCE - PCS - Mathematics Algebra
What is the inverse of diagonal matrix ⎡4 0⎤ ⎣0 5⎦?
A. ⎡1⁄5 0⎤ ⎣0 1⁄4⎦
B. ⎡1⁄4 0⎤ ⎣0 1⁄5⎦
C. ⎡4 0⎤ ⎣0 5⎦
D. ⎡0 0⎤ ⎣0 0⎦
Correct Answer: B
The inverse of a nonzero diagonal matrix has reciprocal diagonal entries.
CSS - PMS - CCE - PCS - Mathematics Algebra
What is the inverse of diagonal matrix ⎡3 0⎤ ⎣0 4⎦?
A. ⎡1⁄4 0⎤ ⎣0 1⁄3⎦
B. ⎡3 0⎤ ⎣0 4⎦
C. ⎡1⁄3 0⎤ ⎣0 1⁄4⎦
D. ⎡0 0⎤ ⎣0 0⎦
Correct Answer: C
The inverse of a nonzero diagonal matrix has reciprocal diagonal entries.
CSS - PMS - CCE - PCS - Mathematics Algebra
What is the inverse of diagonal matrix ⎡2 0⎤ ⎣0 3⎦?
A. ⎡2 0⎤ ⎣0 3⎦
B. ⎡1⁄2 0⎤ ⎣0 1⁄3⎦
C. ⎡0 0⎤ ⎣0 0⎦
D. ⎡1⁄3 0⎤ ⎣0 1⁄2⎦
Correct Answer: B
The inverse of a nonzero diagonal matrix has reciprocal diagonal entries.
CSS - PMS - CCE - PCS - Mathematics Algebra
Find the transpose of ⎡5 6⎤ ⎣7 8⎦.
A. ⎡-5 −6⎤ ⎣-7 −8⎦
B. ⎡8 7⎤ ⎣6 5⎦
C. ⎡5 7⎤ ⎣6 8⎦
D. ⎡5 6⎤ ⎣7 8⎦
Correct Answer: C
Interchange rows and columns.
CSS - PMS - CCE - PCS - Mathematics Algebra
Find the transpose of ⎡4 5⎤ ⎣6 7⎦.
A. ⎡7 6⎤ ⎣5 4⎦
B. ⎡4 5⎤ ⎣6 7⎦
C. ⎡-4 −5⎤ ⎣-6 −7⎦
D. ⎡4 6⎤ ⎣5 7⎦
Correct Answer: D
Interchange rows and columns.
CSS - PMS - CCE - PCS - Mathematics Algebra
Find the transpose of ⎡3 4⎤ ⎣5 6⎦.
A. ⎡6 5⎤ ⎣4 3⎦
B. ⎡3 4⎤ ⎣5 6⎦
C. ⎡-3 −4⎤ ⎣-5 −6⎦
D. ⎡3 5⎤ ⎣4 6⎦
Correct Answer: D
Interchange rows and columns.
CSS - PMS - CCE - PCS - Mathematics Algebra
Find the transpose of ⎡2 3⎤ ⎣4 5⎦.
A. ⎡2 3⎤ ⎣4 5⎦
B. ⎡2 4⎤ ⎣3 5⎦
C. ⎡-2 −3⎤ ⎣-4 −5⎦
D. ⎡5 4⎤ ⎣3 2⎦
Correct Answer: B
Interchange rows and columns.
CSS - PMS - CCE - PCS - Mathematics Algebra
Find the transpose of ⎡1 2⎤ ⎣3 4⎦.
A. ⎡-1 −2⎤ ⎣-3 −4⎦
B. ⎡1 3⎤ ⎣2 4⎦
C. ⎡4 3⎤ ⎣2 1⎦
D. ⎡1 2⎤ ⎣3 4⎦
Correct Answer: B
Interchange rows and columns.
CSS - PMS - CCE - PCS - Mathematics Algebra
Multiply matrix ⎡5 2⎤ ⎣3 4⎦ by scalar 6.
A. ⎡11 8⎤ ⎣9 10⎦
B. ⎡30 12⎤ ⎣18 24⎦
C. ⎡0 0⎤ ⎣0 0⎦
D. ⎡1 0⎤ ⎣0 1⎦
Correct Answer: B
Multiply every entry by the scalar.
CSS - PMS - CCE - PCS - Mathematics Algebra
Multiply matrix ⎡4 2⎤ ⎣3 4⎦ by scalar 5.
A. ⎡9 7⎤ ⎣8 9⎦
B. ⎡0 0⎤ ⎣0 0⎦
C. ⎡1 0⎤ ⎣0 1⎦
D. ⎡20 10⎤ ⎣15 20⎦
Correct Answer: D
Multiply every entry by the scalar.
CSS - PMS - CCE - PCS - Mathematics Algebra
Multiply matrix ⎡3 2⎤ ⎣3 4⎦ by scalar 4.
A. ⎡1 0⎤ ⎣0 1⎦
B. ⎡0 0⎤ ⎣0 0⎦
C. ⎡7 6⎤ ⎣7 8⎦
D. ⎡12 8⎤ ⎣12 16⎦
Correct Answer: D
Multiply every entry by the scalar.
CSS - PMS - CCE - PCS - Mathematics Algebra
Multiply matrix ⎡2 2⎤ ⎣3 4⎦ by scalar 3.
A. ⎡0 0⎤ ⎣0 0⎦
B. ⎡6 6⎤ ⎣9 12⎦
C. ⎡1 0⎤ ⎣0 1⎦
D. ⎡5 5⎤ ⎣6 7⎦
Correct Answer: B
Multiply every entry by the scalar.
CSS - PMS - CCE - PCS - Mathematics Algebra
Multiply matrix ⎡1 2⎤ ⎣3 4⎦ by scalar 2.
A. ⎡1 0⎤ ⎣0 1⎦
B. ⎡2 4⎤ ⎣6 8⎦
C. ⎡0 0⎤ ⎣0 0⎦
D. ⎡3 4⎤ ⎣5 6⎦
Correct Answer: B
Multiply every entry by the scalar.
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