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

• 2 A
• -2 B
• 5 C
• -5 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

[0] is a:

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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
• None D

• 1 A
• -1 B
• -6 C
• 6 D

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

• 
  A
• 
  B
• 
  C
• diagonal matrix D

• scalar matrix A
• diagonalmatrix B
• triangularmatrix 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

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

If A is non singular matrix then A^t is:

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

• 
  A
• diagonal matrix B
• 
  C
• 
  D

For a square matrix A, |A| equals:

• A^t A
• |A^t| B
• -|A^t| C
• -A^t 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

A^-1 exists if A is:

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

• 3×3 A
• 3×2 B
• 2×1 C
• 2×3 D