9th class Mathematics Online test Unit 1 - Matrices and Determinants

Unit 1 – Matrices and Determinants

Quiz

 

1. A matrix is defined as:
   1.   A single number
   2.   A rectangular arrangement of numbers in rows and columns
   3.   A set of equations
   4.   None of these
2. The order of a matrix with 3 rows and 4 columns is:
   1.   3x3
   2.   4x3
   3.   4x3
   4.   4x4
3. If a matrix has only one row, it is called a:
   1.   Row matrix
   2.   Column matrix
   3.   Square matrix
   4.   Zero matrix
4. The determinant of a 2x2 matrix [ �� �� �� �� ] [ a c ​ b d ​ ] is given by:
   1.   �� × �� + �� × �� a×b+c×d
   2.   a×d−b×c
   3.   �� + �� − �� + �� a+b−c+d
   4.   None of these
5. A matrix with the same number of rows and columns is called a:
   1.   Row matrix
   2.   Column matrix
   3.   Square matrix
   4.   dentity matrix
6. The identity matrix of order 2 is:
   1.   [1 0]
      [0 1]
   2.   [1 0]
      [0 1]
   3.   1 1]
      [1 1]
   4.   None of these
7. Which of the following is a singular matrix?
   1.   A matrix with determinant 0
   2.   A matrix with determinant 1
   3.   A matrix with equal rows and columns
   4.   A matrix with all entries equal
8. The transpose of a matrix is obtained by:
   1.   Reversing its rows
   2.   Reversing its columns
   3.   Interchanging its rows and columns
   4.   None of these
9. A zero matrix is a matrix in which:
   1.   All elements are equal to 1
   2.   All elements are equal to 0
   3.   All rows are equal
   4.   All columns are equal
10. If �� = [ 2 3 4 5 ] A=[ 2 4 ​ 3 5 ​ ], what is the determinant of A?
    1.   -2
    2.   -1
    3.   1
    4.   2