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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 40 A
• -40 B
• 26 C
• -26 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 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

• 9 A
• -9 B
• -6 C
• none D

For a square matrix A, |A| equals:

• A^t A
• |A^t| B
• -|A^t| C
• -A^t 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

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

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

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

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

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

• 
  A
• 
  B
• 
  C
• diagonal matrix D

• 1 A
• -1 B
• -6 C
• 6 D

• 3×3 A
• 3×2 B
• 2×1 C
• 2×3 D

If A is a square matrix, then:

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

• 
  A
• 
  B
• 
  C
• diagonal matrix D