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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• scalarmatrix A
• diagonalmatrix B
• lower triangularmatrix C
• uppertriangularmatrix D

• 1 A
• -1 B
• -6 C
• 6 D

Two matrices X and Y are equal if and only if:

• X and Y are of same order A
• Their corresponding elements are equal B
• Both a and b C
• None of these D

• 2 A
• -2 B
• 5 C
• -5 D

For a square matrix A, |A| equals:

• A^t A
• |A^t| B
• -|A^t| C
• -A^t 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

• 3×2 A
• 2×3 B
• 2×2 C
• 3×3 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

If A is non singular matrix then A^t is:

• singular A
• nonsingular B
• symmetric C
• none 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 = [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

• 
  A
• 
  B
• 
  C
• diagonal matrix D

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

• 3×1 A
• 1×3 B
• 3×3 C
• 1×1 D

• 40 A
• -40 B
• 26 C
• -26 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

• 25 A
• 20 B
• 40 C
• 2a + 2b + 2c D

If A is a square matrix, then:

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