11th Class FA Mathematics Chapter 3 Online Test

If a matrix A is symmetric as well as skew symmetric, then:

• A is null matrix A
• A is unit matrix B
• A is triangular matrix C
• A is diagonal matrix D

• scalar matrix A
• diagonalmatrix B
• lower triangularmatrix C
• upper triangularmatrix D

• 3×1 A
• 1×3 B
• 3×3 C
• 1×1 D

The order of a matrix is shown by:

• 
  A
• number of columns + number of rows B
• number of rows × number of columns C
• number of columns - number of rows D

• 
  A
• diagonal matrix B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• singular A
• non-singular B
• rectangular C
• null D

A matrix of order m×1 is called:

• row matrix A
• column matrix B
• identity matrix C
• scalar matrix D

• zero A
• non-singular B
• singular C
• none of these D

If two rows (or two columns) in a square matrix are identical (i.e. corresponding elements are equal), the value of the determinant is:

• 0 A
• 1 B
• -1 C
• ±1 D

• 
  A
• 
  B
• 
  C
• 
  D

[0] is a:

• 
  A
• 
  B
• 
  C
• 
  D

• 5 A
• 14 B
• 20 C
• 6 D

• 1 A
• -1 B
• -6 C
• 6 D

• 3×3 A
• 3×2 B
• 2×1 C
• 2×3 D

A^-1 exists if A is:

• singular A
• nonsingular B
• symmetric C
• none D

Minors and co-factors of the elements in a determinant are equal in magnitude but they may differ in:

• order A
• position B
• sign C
• symmetry D

• 1 A
• -5 B
• -1 C
• none D

If the matrices A & B have the orders 2×3 and 5×2 then order BA is:

• 3×5 A
• 5×2 B
• 2×2 C
• none D

If A is a square matrix, then A - A^t is:

• 
  A
• 
  B
• 
  C
• 
  D