MTH501 Final Term Solved Paper

MTH501 FINAL TERM SOLVED MCQs FILE · BY LIBRIANSMINE · (VISIT VURANK FOR MORE)

Q1. If for a linear transformation the equation T(x) =0 has only the trivial solution then T is (1 marks)

1. One-to-one
2. Onto

Correct answer: One-to-one

Q4. The equation x = p + t v describes a line (1 marks)

1. through v parallel to p
2. through p parallel to v
3. through origin parallel to p

Correct answer: through p parallel to v

Q6. Every linear transformation is a matrix transformation (1 marks)

1. True
2. False

Q7. A null space is a vector space. (1 marks)

1. True
2. False

Correct answer: True

Q8. If two row interchanges are made in succession, then the new determinant (1 marks)

1. equals to the old determinant
2. equals to -1 times the old determinant

Q9. The determinant of A is the product of the pivots in any echelon form U of A , multiplied by (-1)r , Where r is (1 marks)

1. the number of rows of A
2. the number of row interchanges made during row reduction from A to U
3. the number of rows of U
4. the number of row interchanges made during row reduction U to A

Q10. Please choose one If A is (1 marks)

invertible, then det(A)det(A-1)=1.

1. True
2. False

Q12. The product of upper triangular matrices is (1 marks)

1. lower triangular matrix
2. upper triangular matrix
3. diagonal matrix

Q13. The matrix multiplication is associative (1 marks)

1. True
2. False

Correct answer: True

Q14. Please choose one We can (1 marks)

add the matrices of ______________.

1. same order
2. same number of columns.
3. same number of rows
4. different order

Correct answer: same order

Q15. By solving system of equations with iterative method, we stop the process when the entries in two successive iterations are ________. (1 marks)

1. repeat(same)
2. large difference
3. different

Correct answer: repeat(same)

Q16. Jacobi’s Method is ____________ converges to solution than Gauss Siedal Method. (1 marks)

1. slow
2. fast
3. better

Q17. A system of linear equations is said to be homogeneous if it can be written in the form ______________. (1 marks)

1. AX = B
2. AX = 0
3. AB = X
4. X = A-1

Correct answer: AX = 0