ECAT Pre Engineering MCQ Test With Answer for Chapter 5 Mathematics

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

A square matrix A for which A^t= A is called a

• Column matrix A
• Symmetric matrix B
• Skew-symmetric matrix C
• Row matrix D

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

• 
  A
• 
  B
• 
  C
• 
  D

The matrix A = [aij]mxn with m≠n is

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

The square matrix A is skew Hermitian when (A)'=

• A A
• A' B
• -A C
• A D

For a square matrix A, if A = A^t, then A is called

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

• 0 A
• abc B
• 1/abc C
• None of these D

• 5 A
• 15 B
• 10 C
• 20 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

• 
  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

The number of non zero rows in echelon form of a matrix is called

• Order of matrix A
• Rank of matrix B
• Row operation C
• None of these D

• K/6 A
• 2K B
• 3K C
• 6K D

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 4 B
• 6 C
• 8 D

For non-trival solution |A| is

• A = 0 A
• A^t= 0 B
• |A| = 0 C
• None of these D

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

The square matrix A is skew-symmetric when At=

• -B A
• -C B
• -A C
• -D D

• 3K A
• K2 B
• K3 C
• K D

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

• At Bt A
• AB B
• -AB C
• BA D

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

• A² A
• A³ B
• A C
• None of above 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

• 3, -3, 11 A
• 3, 3, 11 B
• -3, 3, -11 C
• -3, -3, 11 D

The transport of a square matrix is a

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

Which of the following is an identity matrix?

• 
  A
• 
  B
• 
  C
• none of these D