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

• 
  A
• 
  B
• 
  C
• diagonal matrix D

• 
  A
• 
  B
• 
  C
• diagonal matrix D

If each element in any row or each element in any column of a square matrix is zero, then value of the determinant is:

• 0 A
• 1 B
• -1 C
• none of these D

• 3 A
• -3 B
• 1/3 C
• -1/3 D

If A = [a_ij], B = [b_ij] and AB = 0 then:

• A = 0 A
• B = 0 B
• either A = 0 or B = 0 C
• A & B not necessarily zero D

• 2 A
• -2 B
• 5 C
• -5 D

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

• 3×1 A
• 1×3 B
• 3×3 C
• 1×1 D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• -1 B
• -6 C
• 6 D

If A is a matrix of order m × n and B is a matrix of order n × p then the order of AB is:

• p×m A
• p×n B
• n×p C
• m×p D

If any two rows of a square matrix are interchanged, the determinant of the resulting matrix:

• is zero A
• is multiplicative inverse of the determinant of the original matrix B
• is additive inverse of the determinant the original matrix C
• none of these D

If A is a square matrix order 3 × 3 the |kA| equals:

• k |A| A
• k²|A| B
• k³ |A| C
• k⁴ |A| D

• 25 A
• 20 B
• 40 C
• 2a + 2b + 2c 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 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 non singular matrix then A^t is:

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

If A is a square matrix, then:

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