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

• 3×1 A
• 1×3 B
• 3×3 C
• 1×1 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

For a square matrix A, |A| equals:

• A^t A
• |A^t| B
• -|A^t| C
• -A^t D

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

If A is a square matrix, then:

• |A^t| = A A
• |A^t| = -A B
• |A^t| = |A| C
• A^t= A 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
• diagonal matrix 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

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

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

• 1 A
• -5 B
• -1 C
• none D

Minors and co-factors of the elements in a determinant are equal in magnitude but they may differ in:

• order A
• position B
• sign C
• symmetry D

[0] is a:

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 9 A
• -9 B
• -6 C
• none D

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

• 5 A
• -5 B
• -4 C
• 4 D