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

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  D

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  D

Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for

• BA A
• A² B
• AB C
• B² D

(ABC)' =

• CBA' A
• CBA B
• C' B' A' C
• None of these D

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  B
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  D

The transpose of a row matrix is a ______

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

• a = 2, b = 3 A
• a = 3, b = 2 B
• a = 2, b = 1, 2 C
• a = 3, b = 3 D

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

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

If A = [a_ij] 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

• (2x+a+b+c) A
• (a+b+c) B
• (a+b+c+x) 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

Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for

• BA A
• A2 B
• AB C
• B2 D

The transport of a null matrix is

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

In order of A is m x n and order of B is n x p then order of AB is

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

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

• A A
• A' B
• -A C
• A D

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  D

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

• 16 A
• 256 B
• 64 C
• 1024 D

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

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An equation of the form ax + by = k is homogeneous linear equation when:

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  B
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  C
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  D

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

• a = -1/2, b = -1 A
• a = 1, b = 2 B
• a = 2, b = 3 C
• None of above D

For trival solution |A| is

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

• 1 A
• -1 B
• 0 C
• I 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

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

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

• Symmetric A
• Hermition B
• Skew-symmetric C
• None D

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  A
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  B
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  C
• all D