قالب اور مقطع

Written by Hassan Raza (Mathematics)

نویں جماعت · ریاضی · 19 سوالات

نام: ____________________   تاریخ: ____________

1. A matrix with 3 rows and 2 columns has order:

   • A 3 x 3
   • B 3 x 2
   • C 6
   • D 2 x 3

2. What is the determinant of the matrix [[2, 3], [1, 4]]?

   • A 8
   • B 11
   • C -5
   • D 5

3. If A = [[1, 2], [3, 4]] and B = [[0, 1], [1, 0]], what is A + B?

   • A [[1, 2], [3, 4]]
   • B [[1, 3], [4, 4]]
   • C [[1, 3], [4, 5]]
   • D [[0, 2], [3, 0]]

4. A matrix whose determinant is zero is called:

   • A Identity
   • B Singular
   • C Non-singular
   • D Diagonal

5. What is the transpose of [[1, 2, 3]]?

   • A [[3, 2, 1]]
   • B [[1], [2], [3]]
   • C [[1, 2, 3]]
   • D [[0]]

6. What is 3 times the matrix [[1, 2], [0, 1]]?

   • A [[3, 2], [0, 1]]
   • B [[4, 5], [3, 4]]
   • C [[1, 6], [0, 3]]
   • D [[3, 6], [0, 3]]

7. A matrix with only one row is called a:

   • A Row matrix
   • B Column matrix
   • C Square matrix
   • D Null matrix

8. The identity matrix of order 2 is:

   • A [[0, 1], [1, 0]]
   • B [[1, 1], [1, 1]]
   • C [[0, 0], [0, 0]]
   • D [[1, 0], [0, 1]]

9. If A = [[1, 2], [3, 4]], then 2A is:

   • A [[1, 4], [3, 8]]
   • B [[3, 4], [5, 6]]
   • C [[2, 4], [6, 8]]
   • D [[2, 2], [3, 4]]

10. A matrix with the same number of rows and columns is:

    • A Square
    • B Row
    • C Zero
    • D Column

11. Two matrices can be added only if they:

    • A Have the same determinant
    • B Have the same order
    • C Are square matrices
    • D Are identity matrices

12. If A is 2 × 3 and B is 3 × 4, the order of AB is:

    • A 4 × 2
    • B 2 × 4
    • C 3 × 3
    • D 2 × 3

13. The determinant of the matrix with rows (2, 3) and (1, 4) is:

    • A −5
    • B 8
    • C 11
    • D 5

14. A matrix is singular when its determinant is:

    • A Zero
    • B Equal to its order
    • C One
    • D Negative

15. The identity matrix of order 2 has diagonal entries:

    • A 0 and 0
    • B 1 and 0
    • C 1 and 1
    • D 2 and 2

16. The transpose of a matrix is formed by:

    • A Swapping the signs of all entries
    • B Changing rows into columns
    • C Adding the rows
    • D Multiplying all entries by 2

17. The adjoint of the matrix with rows (a, b) and (c, d) has rows:

    • A (d, −b) and (−c, a)
    • B (−a, −b) and (−c, −d)
    • C (d, b) and (c, a)
    • D (a, c) and (b, d)

18. If |A| = 4 and adj A is known, then A⁻¹ equals:

    • A 4 ÷ adj A
    • B adj A − 4
    • C adj A ÷ 4
    • D 4 × adj A

19. Which matrix has no inverse?

    • A The matrix with rows (2, 4) and (1, 2)
    • B The matrix with rows (3, 1) and (2, 1)
    • C The matrix with rows (1, 2) and (3, 5)
    • D The matrix with rows (1, 0) and (0, 1)