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Punjab (PTB) · Chapter test · Free

10th Class Mathematics Chapter 3 TestUNIT 3: MATRICES AND DETERMINANTS

30 marks · 40 minutes · 21 questions. Covers: UNIT 3: MATRICES AND DETERMINANTS.

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10th Class Mathematics Chapter 3 Test

10th Class · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. What is the type of the matrix :

    1. Row

    2. Scalar

    3. Null

    4. Rectangular

  2. Which of these is a  matrix?

    1. [1 2]

  3. Which of the following is a singular matrix?

  4.  is a/an ....... matrix:

    1. Rectangular

    2. Identity

    3. Column

    4. Row

  5. A matrix where every element is zero is called:

    1. Identify

    2. Skew

    3. Row

    4. Null

  6. For matrices A and B which is always true?

    1. A-B=B-A

    2. AB=1

  7. Which is the order of a square matrix?

    1. 1 x 3

    2. 3 x 2

    3. 3 x 3

    4. 3 x 1

  8. If then 3A-A will be:

  9. If  then -4Q is:

  10. ...... If 

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Find the additive inverse of the following matrix: 

  2. Is the following matric is diagonal, scalar or unit matrice. 

  3. Is the following matric is unit matric, row matrices, column matrices or null matrices. 

  4. If  and  then find the following: 4X - Z

  5. If  then find: AB, if possible.

  6. Find the adjoint of the following matrix: 

  7. If , then find: AB, if possible

  8. Find whether the following matrix are singular or non-singular: 

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. Find two numbers by using matrices such that twice the first added to the second makes 21 and twice the second added to the first makes 27.

  2. Use Cramer's rule to solve the following pair of linear equation, if possible: 

  3. Use matrix inversion method and Carmer's rule to solve the following pair of linear equations, if possible: