📚Properties Of Matrix
1. Two matrices are equal if they have:
A. The same determinant
B. The same number of rows only
C. The same order and corresponding elements equal
D. The same number of columns only
2. If A is a 2× 3 matrix and B is a 2× 3 matrix, then A+B is:
A. Defined and of order 2× 3
B. Defined and of order 3× 2
C. Not defined
D. A square matrix
3. Matrix multiplication AB is possible if:
A. The number of rows of A equals the number of rows of B
B. The number of columns of A equals the number of columns of B
C. The number of columns of A equals the number of rows of B
D. Both matrices are square
4. If A is a 2× 3 matrix and B is a 3× 4 matrix, then AB has order:
A. 2× 4
B. 3× 3
C. 4× 2
D. 2× 3
5. For any matrix A, the additive identity is:
A. I
B. A
C. -A
D. O
6. For a matrix A, the matrix satisfying A+B=O is:
A. A
B. Aᵀ
C. -A
D. I
7. Which of the following is always true?
A. AB=BA
B. A+B=B+A
C. AB=A+B
D. A²=A for every matrix A
8. If A is a 3× 3 matrix, then AI₃ is equal to:
A. I₃
B. O
C. A
D. Aᵀ
9. If A is a 2× 3 matrix, then Aᵀ has order:
A. 2× 3
B. 3× 2
C. 2× 2
D. 3× 3
10. If A and B are matrices for which AB and BA are both defined, which statement is generally correct?
A. AB=BA always
B. AB≠ BA always
C. AB and BA may not be equal
D. AB and BA always have the same order
11. Let A be a 2× 3 matrix and B be a 3× 2 matrix. Which statement is correct?
A. AB is 2× 2 and BA is 3× 3
B. AB is 3× 3 and BA is 2× 2
C. Both AB and BA are 2× 3
D. Neither product is defined
12. For matrices of suitable orders, the distributive law is:
A. A(B+C)=AB+AC
B. A(B+C)=AB+C
C. A(B+C)=A+B+C
D. A(B+C)=BA+CA
13. If A, B, and C are matrices of suitable orders, then the associative law of multiplication is:
A. A(BC)=(AB)C
B. A(BC)=B(AC)
C. A(BC)=C(AB)
D. A(BC)=A+B+C
14. If A and B are square matrices of the same order, which relation is always valid?
A. (A+B)ᵀ=Aᵀ+Bᵀ
B. (A+B)ᵀ=AᵀBᵀ
C. (A+B)ᵀ=Aᵀ-Bᵀ
D. (A+B)ᵀ=AB
15. For matrices A and B of suitable orders, the transpose of a product satisfies:
A. (AB)ᵀ=AᵀBᵀ
B. (AB)ᵀ=BᵀAᵀ
C. (AB)ᵀ=AB
D. (AB)ᵀ=Aᵀ+Bᵀ
▎Answers
1. C
2. A
3. C
4. A
5. D
6. C
7. B
8. C
9. B
10. C
11. A
12. A
13. A
14. A
15. B
IDEA FOR ALL STUDENTS
TO GET OTHER EUEE QUIZ JOIN BELOW LINK OR DABOO QUIZ
[Channel Link👇👇
https://t.me/Abdii_oromoo
https://t.me/Abdii_oromoo
https://t.me/qubeeacademy
https://t.me/qubeeacademy
Don't forget if you like react now.
For video Lectures check our youtube channel 👇👇👇👇👇👇👇
https://youtube.com/channel/UCLPTQfMXS6we7aTT4g9MwCw
