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Answer for maths questions on matrix and determinants 1. D 2. A 3. C 4. C 5. A 6. B 7. A 8. D 9. A 10. B 11. A 12. C 13. A 14. B 15. A 16. D 17. A 18. B 19. B 20. A ❓Feel Free To Ask Questions in the Comments.

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📃Matrix and Determinant Questions (EUEE Standard) 1. If A is a 2x3 matrix and B is a 3x4 matrix, what is the possible dimension of the product AB?    - A) 2x2    - B) 2x3    - C) 3x2    - D) 2x4 2. The determinant of the following matrix:      | 3  1 |   | 2  4 |       - A) 10    - B) 11    - C) 12    - D) 14 3. If A and B are square matrices of the same order, what is the result of det(A^T * B)?    - A) det(A) * det(B)    - B) det(A^T) * det(B)    - C) det(A * B)t    - D) det(B * A) 4. What is the rank of the matrix:           | 1  0  2 |    | 0  1  3 |    | 0  0  0 |       - A) 2    - B) 3    - C) 1    - D) 0 5. If A is an orthogonal matrix, what can be said about its eigenvalues?    - A) Always real    - B) Always complex    - C) Always negative    - D) Always positive 6. The product of a scalar and a matrix is obtained by multiplying each element of the matrix by the scalar. What is this operation called?    - A) Addition    - B) Scalar multiplication    - C) Determination    - D) Transposition 7. If A and B are invertible matrices, what is the inverse of their product (AB)^(-1)?    - A) A^(-1) * B^(-1)    - B) AB    - C) B^(-1) * A^(-1)    - D) A^(-1) + B^(-1) 8. The determinant of the following matrix:           | 2  0  1 |    | 3  1  4 |    | 1 -1  3 |       - A) -6    - B) -7    - C) 6    - D) 7 9. What is the eigenvalue of the identity matrix?    - A) 1    - B) 0    - C) -1    - D) It doesn't have eigenvalues 10. If A is a 3x3 matrix and det(A) = 0, what can be said about A?     - A) A is invertible     - B) A is singular     - C) A is symmetric     - D) A is orthogonal 11. The product of a matrix and its transpose is always:     - A) Symmetric     - B) Diagonal     - C) Identity     - D) Skew-symmetric 12. If A and B are square matrices such that det(A) = 3 and det(B) = 2, what is det(A^(-1) * B)?     - A) 3     - B) 2     - C) 6     - D) 1/6 13. What is the adjugate of the identity matrix?     - A) Identity matrix     - B) Zero matrix     - C) Diagonal matrix     - D) Skew-symmetric matrix 14. If A is a 2x2 matrix with det(A) = 0, what can be said about A?     - A) A is invertible     - B) A is singular     - C) A is symmetric     - D) A is orthogonal 15. The determinant of a diagonal matrix is equal to:     - A) The product of its diagonal elements     - B) The sum of its diagonal elements     - C) The square of its diagonal elements     - D) 1 16. What is the rank of the following matrix?              | 1  2  3 |     | 0  0  0 |     | 4  5  6 |         - A) 1     - B) 2     - C) 3     - D) 0 17. If A is a skew-symmetric matrix, what can be said about its diagonal elements?     - A) They are always zero     - B) They are always positive     - C) They are always negative     - D) They can be any real number 18. The product of two orthogonal matrices is always:     - A) Symmetric     - B) Orthogonal     - C) Singular     - D) Skew-symmetric 19. If A and B are square matrices, what is the determinant of their sum, det(A + B)?     - A) det(A) + det(B)     - B) det(A + B)     - C) det(A) * det(B)     - D) det(A - B) 20. If A is a square matrix, what is the determinant of its inverse, det(A^(-1))?     - A) 1     - B) -1     - C) det(A)     - D) 0 answers will be released soon Comment your answers 👇 Join and share our channel! @maths_group11 @maths_group11 @maths_group11

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