ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 5

• 1 A
• 0 B
• -1 C
• 2 D

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

• A² A
• A³ B
• A C
• None of above D

The transport of a null matrix is

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

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

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

• Identity matrix A
• Diagonal matrix B
• Null matrix C
• Hermitian matrix D

• 
  A
• 
  B
• 
  C
• 
  D

For non-trival solution |A| is

• non zero A
• A = 0 B
• |A| = 0 C
• At = 0 D

• 0 A
• 1 B
• -2 C
• 10 D

• -3 A
• -7 B
• 1 C
• 0 D

A diagonal matrix in which the diagonal elements are equal is called a

• Null matrix A
• Identity matrix B
• Scalar matrix C
• Row matrix D

• 6, -12, -18 A
• -6, 4, 9 B
• -6, -4, -9 C
• -6, 12, 18 D

The transpose of a column matrix is a ______

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Minor of an element a_ijis denoted by

• M_ij A
• A_ij B
• |A| C
• None of these D

• K/6 A
• 2K B
• 3K C
• 6K D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

The matrix A is Hermitian when (A)' =

• A A
• -A B
• A C
• A' D

If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is

• 1 x 1 A
• 1 x 10 B
• 10 x 10 C
• 10 x 1 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

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

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

• 5 A
• 
  B
• -5 C
• none D

• A^- A
• A^t B
• -A C
• A D

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

• (2x4) A
• (2x7) B
• (2x3) C
• (7x2) D

If order of A is m x n, then order of A^tis

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