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

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

• 
  A
• 
  B
• 
  C
• diagonal matrix D

• 
  A
• 
  B
• 
  C
• None D

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

• 
  A
• 
  B
• 
  C
• diagonal matrix 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

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

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

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

A^-1 exists if A is:

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

• 3 A
• -3 B
• 1/3 C
• -1/3 D

A matrix of order m×1 is called:

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

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

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

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

The additive inverse of a matrix A is:

• A A
• A^-1 B
• - A C
• A² D

• 
  A
• 
  B
• 
  C
• 
  D