ECAT Pre Engineering MCQ Test With Answer for Chapter 5 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

System of linear equation is inconsistent if

• System has no solution A
• System has one solution B
• System has two solution C
• None of above D

• 5 A
• 15 B
• 10 C
• 20 D

If for the matrix A, A⁵= I, then A^-1=

• A² A
• A³ B
• A C
• None of above D

Matrix multiplication is

• Commutative A
• Not commutative B
• Not associative C
• Not distributive D

• A(α) - A(β) A
• A(α) + A(β) B
• A(α-β) C
• A(α+β) D

If A and B are skew-symmetric then (AB)t is

• At Bt A
• AB B
• -AB C
• BA D

If A = |aij| is (m x n) matrix then transpose of A is of the order

• m x m A
• m x n B
• n x n C
• n x m D

For a square matrix A, if A = At, then A is called

• Matrix A
• Transpose B
• Symmetric C
• Non-symmetric D

• 3 x 1 A
• 1 x 3 B
• 3 x 3 C
• 1 x 1 D

• 1 A
• -1 B
• 0 C
• I D

(ABC)' =

• CBA' A
• CBA B
• C'B'A C
• C'B'A' D

• 
  A
• 
  B
• 16 C
• None of these D

(ABC)' =

• CBA' A
• CBA B
• C' B' A' C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 3 x 2 A
• 2 x 3 B
• 3 x 3 C
• 2 x 2 D

System of linear equations is inconsistent if

• System has no solution A
• System has one solution B
• System has two solution C
• None of above D

The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is

• 2 x 3 A
• 3 x 2 B
• 2 x 5 C
• 5 x 2 D

• 
  A
• 
  B
• 
  C
• 
  D

• 2s² A
• 2s³ B
• s³ C
• 3s³ D

Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for

• BA A
• A2 B
• AB C
• B2 D

If the trace of matrix A is 5, then the trace of the matrix 3A is

• 3/5 A
• 5/3 B
• 8 C
• 15 D

• 
  A
• 
  B
• 
  C
• 
  D

• 4A - 3I A
• 3A - 4I B
• A - I C
• None of these D

The square matrix A is skew-symmetric when At=

• -B A
• -C B
• -A C
• -D D

Every identity matrix is

• Row-vector A
• Scalar B
• Column-vector C
• All D

The square matrix A is skew-symmetric when At =

• -B A
• -C B
• -A C
• -D D

• a = -1/2, b = -1 A
• a = 1, b = 2 B
• a = 2, b = 3 C
• None of above D

• Diagonal matrix A
• Scalar matrix B
• Triangular matrix C
• Identity matrix D

• At A
• -A B
• A C
• A-1 D