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

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  A
• 
  B
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  C
• 
  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

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

• At Bt A
• AB B
• -AB C
• BA D

A matrix with a single row is called a

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

Cofactor of an element a_ijis defined by

• (-1)^i+j|A| A
• (-1)^i+jM_ij B
• (-1)^i+jM^-1 C
• None of these D

• 0 A
• 1 B
• -A C
• -1 D

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

For trival solution |A| is

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

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

• A2 A
• A3 B
• A C
• None of above 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

• 5 A
• 15 B
• 10 C
• 20 D

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  A
• 
  B
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  C
• 
  D

• 
  A
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  B
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  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

If A is a non-singular matrix then adj A is

• Non-singular A
• Symmetric B
• Singular C
• Non defined 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

• 
  A
• 
  B
• 
  C
• 
  D

The square matrix A is skew-symmetric when At =

• -B A
• -C B
• -A C
• -D D

• 1 A
• 0 B
• 3 C
• -1 D

Rank of matrix [1 3 5 0] is

• 1 A
• 3 B
• 2 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  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 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

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

• Null matrix A
• Triangular matrix B
• Unit matrix C
• Rectangular matrix D

• At A
• -A B
• A C
• A-1 D

• 
  A
• 
  B
• 
  C
• 
  D

• -3 A
• -7 B
• 1 C
• 0 D

For non-trival solution |A| is

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

• 
  A
• 
  B
• 
  C
• 
  D