ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 5 (Matrices and Determinants)

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

Rank of matrix [1 3 5 0] is

• 1 A
• 3 B
• 2 C
• 4 D

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

If A is singular then |A| = ______

• 1 A
• 0 B
• 2 C
• None of these D

• (2x+a+b+c) A
• (a+b+c) B
• (a+b+c+x) C
• 0 D

• 5 A
• 15 B
• 10 C
• 20 D

• 16 A
• 256 B
• 64 C
• 1024 D

The transpose of a zero matrix is a ______

• Column matrix A
• Zero matrix B
• Row matrix C
• Scalar matrix D

• Zero matrix A
• Diagonal matrix B
• Column matrix C
• Scalar matrix D

Matrix multiplication is

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

• 9/4 A
• 4/9 B
• 1 C
• None of these D

• -a -b -c A
• 1 B
• 0 C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

• I A
• 14 I B
• 0 C
• None of these D

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

• 5 A
• 
  B
• -5 C
• none D

Trival solution of homogeneous linear equation is

• (0, 0, 0) A
• (1, 2, 3) B
• (1, 3, 5) C
• a.b and c D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The square matrix A is skew-symmetric when At =

• -B A
• -C B
• -A C
• -D D

A square matrix all of whose elements except the main diagonal are zeros is called a

• Null matrix A
• Singular matrix B
• Symmetric matrix C
• Diagonal matrix D

• I A
• |A| B
• |A| I C
• None of these D

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

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

The matrix A is Hermitian when (A)' =

• A A
• -A B
• A C
• A' D

A matrix in which the number of rows is equal to the number of columns is called a

• Diagonal matrix A
• Rectangular matrix B
• Square matrix C
• Scalar matrix D

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

A and B be two square matrices and if their inverse exist, the (AB)^-1=

• A^-1B^-1 A
• AB^-1 B
• A^-1B C
• B^-1A^-1 D

• 1 A
• -1 B
• 0 C
• I D

• x =0, y =4 A
• x = -1, y = 2 B
• x = 2, y = 3 C
• x = 3, y = 4 D

• 
  A
• 
  B
• 
  C
• 
  D