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

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  D

Rank of matrix [1 3 5 0] is

• 1 A
• 3 B
• 2 C
• 4 D

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  A
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  B
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  C
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  D

Cofactor of an element aij denoted by Aij is

• (-2)i+j A
• Mij B
• (-1)i+j Mij C
• None of above D

• 1 A
• -1 B
• 0 C
• I D

• 3K A
• K2 B
• K3 C
• K D

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

• a²b²c² A
• 4a²b²c² B
• 4abc C
• None D

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

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  D

• 0 A
• 1 B
• -2 C
• 10 D

• A A
• -A B
• A^t C
• A^- D

• k3 A
• 0 B
• 3k C
• k6 D

A square matrix A = [aij] is lower triangular matrix when:

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

• 2s² A
• 2s³ B
• s³ C
• 3s³ D

If the trace of matrix A is 5, then the trace of the matrix 3A is

• 3/5 A
• 5/3 B
• 8 C
• 15 D

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  A
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  B
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  C
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  D

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

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

The transport of a null matrix is

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

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  A
• 
  B
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  C
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  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

• a = 4, b = 1 A
• a = 1, b = -4 B
• a = 0, b = 4 C
• a = 2, b = 4 D

Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =

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  A
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  B
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  C
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  D

The matrix A = [aij]mxn with m ≠n is always

• Symmetric A
• Hermition B
• Skew-symmetric 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