ECAT Pre Engineering MCQ Test With Answer for Chapter 5 Mathematics

• Hermitian matrix A
• Skew-hermitian matrix B
• Symmetric matrix C
• Identity matrix D

The transpose of a column matrix is a ______

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Let A be a square matrix. Then, 1/2 (A-A') is

• Skew-symmetric A
• Symmetric B
• Null C
• None of the above D

• 1 A
• 0 B
• 3 C
• -1 D

(ABC)' =

• CBA' A
• CBA B
• C'B'A C
• C'B'A' D

The square matrix A is skew-symmetric when At =

• -B A
• -C B
• -A C
• -D D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If A is skew Hermitian Matrix then which of the following is not skew Hermitian matrix

• A2 A
• A5 B
• A3 C
• A7 D

• 5 A
• 15 B
• 10 C
• 20 D

• 3K A
• K2 B
• K3 C
• K D

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

• A² A
• A³ B
• A C
• None of above D

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

Every identity matrix is

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

• Symmetric A
• Skew-symmetric B
• Hermitian C
• Skew hermitian D

The matrix A = [aij]mxn with m≠n is

• Rectangular A
• Symmetric B
• Square C
• None D

If the matrices A and B are conformable for multiplication then (AB)^t= ______

• AB A
• A^tB^t B
• B^tA^t C
• A^tB D

A square matrix A = [aij] is upper triangular when

• cij = 0 A
• bij = 0 B
• aij = 0 for all i > j C
• dij = 0 D

The transport of a null matrix is

• Row matrix A
• Column matrix B
• Square matrix C
• Null matrix D

For trival solution |A| is

• A A
• |A| is non zero B
• A = 0 C
• None of these D

• 0 A
• 1 B
• 2 C
• 4 D

• 
  A
• 
  B
• 
  C
• all are correct D

We solve the system of non-homogeneous linear equations by

• a and b A
• b and c B
• c and a C
• a,b and c D

The order of the matrix [1 2 3] is

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

If A and B are two matrices such that AB = B and BA =A, then A²+ B²=

• 2 AB A
• 2 BA B
• A + B C
• AB D

The additive inverse of a matrix A is

• 
  A
• 
  B
• 
  C
• None of these D

The transpose of a row matrix is a ______

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