MTH501 Final Term Quiz 3 by Mohsin R

MTH501 FINAL TERM SOLVED MCQs FILE BY ALI MUAAZ

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

1. one-to-one
2. onto

Correct answer: one-to-one

Q2. Which one of the following is an matrix?

Q7. A null space is a vector space.

1. True
2. False

Correct answer: True

Q8. If two row interchanges are made in succession, then the new determinant

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

Correct answer: equals to 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. 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

Correct answer: the number of row interchanges made during row reduction from A to U

Q10. If A is invertible, then det(A)det(A-1)=1.

1. True
2. False

Correct answer: True

Q11. A square matrix

i j A a is lower triangular if and only if i j a for

i j i j i j i j