11th Class ICS Mathematics Chapter 3 Test Online

A matrix in which each element is 0 is called:

• 
  A
• 
  B
• 
  C
• 
  D

[0] is a:

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If each element of a 3 × 3 matrix A is multiplied by 3, then the determinant of the resulting matrix is:

• |A|³ A
• 27|A| B
• 3|A| C
• 9|A| D

• 3 A
• -3 B
• 1/3 C
• -1/3 D

• 5 A
• -5 B
• -4 C
• 4 D

The trivial solution of the homogeneous linear equations is:

• (1, 0, 0) A
• (0, 1, 0) B
• (0, 0, 1) C
• (0, 0, 0) D

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

If AB = BA = I, then A and B are:

• equal to each other A
• multiplicative inverse of each other B
• additive inverse of each other C
• both singular D

If A is a square matrix, then:

• |A^t| = A A
• |A^t| = -A B
• |A^t| = |A| C
• A^t= A D

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

• ab - cd = 0 A
• ac - bd = 0 B
• ad - bc = 1 C
• ad - bc = 0 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

• 40 A
• -40 B
• 26 C
• -26 D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• None D

• 1 A
• -1 B
• -6 C
• 6 D

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

A matrix of order m×1 is called:

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

• 1 A
• -5 B
• -1 C
• none D