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

• 25 A
• 20 B
• 40 C
• 2a + 2b + 2c D

A^-1 exists if A is:

• singular A
• nonsingular B
• symmetric C
• none 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

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

• 40 A
• -40 B
• 26 C
• -26 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

• 9 A
• -9 B
• -6 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 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 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

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

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

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

• 
  A
• diagonal matrix B
• 
  C
• 
  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

• 3×1 A
• 1×3 B
• 3×3 C
• 1×1 D

If A is a matrix of order m × n, then the number of elements in each row of A is:

• m A
• n B
• m + n C
• m - n D

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

• 3×3 A
• 3×2 B
• 2×1 C
• 2×3 D

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