Matrices and determinants

Written by Hassan Raza (Mathematics)

Class 11 · Mathematics · 8 questions

Name: ____________________   Date: ____________

1. If A is 2 x 3 and B is 3 x 4, the order of AB is:

   • A AB is not defined
   • B 4 x 2
   • C 3 x 3
   • D 2 x 4

2. The determinant of [[1, 2], [3, 4]] is:

   • A -10
   • B 2
   • C 10
   • D -2

3. The inverse of a matrix A exists only if:

   • A det A is zero
   • B A is a row matrix
   • C det A is not zero
   • D A is 3 x 2

4. If A is a 3 x 3 matrix and det A = 2, then det(2A) is:

   • A 8
   • B 6
   • C 4
   • D 16

5. The transpose of the transpose of A is:

   • A A
   • B Zero
   • C Identity
   • D The inverse of A

6. The determinant of the identity matrix of order 3 is:

   • A 3
   • B -1
   • C 1
   • D 0

7. The product AB of matrices A and B is defined only if:

   • A B is square
   • B Columns of A = rows of B
   • C A is square
   • D Rows of A = rows of B

8. A square matrix with zeros below the main diagonal is:

   • A Lower triangular
   • B Diagonal only
   • C Upper triangular
   • D Symmetric