First Year Mathematics Chapter 3 Online MCQ Test for 1st Year Mathematics Chapter 3 (Matrices and Determinants)

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

• 
  A
• 
  B
• 
  C
• 
  D

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

For a square matrix A, |A| equals:

• A^t A
• |A^t| B
• -|A^t| C
• -A^t 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

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

• scalar matrix A
• diagonalmatrix B
• triangularmatrix C
• none of these D

The additive inverse of a matrix A is:

• A A
• A^-1 B
• - A C
• A² D

[0] is a:

• 
  A
• 
  B
• 
  C
• 
  D

A^-1 exists if A is:

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

• 
  A
• 
  B
• 
  C
• 
  D

If A = [aij] and B = [bij] are two matrices of same order r × s, then order of A - B is:

• r - s A
• r × s B
• r + s C
• none of these D

• 40 A
• -40 B
• 26 C
• -26 D

If A and B are two matrices, then:

• A B = O A
• AB = BA B
• AB = I C
• AB may not be defined D

• 3×2 A
• 2×3 B
• 2×2 C
• 3×3 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
• 
  B
• 
  C
• 
  D

• 1 A
• -1 B
• -6 C
• 6 D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 5 A
• -5 B
• -4 C
• 4 D

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