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

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  A
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  B
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  C
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  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

Trival solution of homogeneous linear equation is

• (0, 0, 0) A
• (1, 2, 3) B
• (1, 3, 5) C
• a, b and c D

• Orthogonal A
• Involutary B
• Idempotent C
• Nilpotent 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

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  A
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  B
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  C
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  D

• An upper triangular matrix A
• A lower triangular matrix B
• A diagonal matrix C
• A null matrix D

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

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

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  D

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

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  D

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

Every identity matrix is

• Row-vector A
• Scalar B
• Column-vector C
• All D

A diagonal matrix is always

• Identity A
• Triangular B
• Scalar C
• Non-singular D

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

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

For non-trival solution |A| is

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

System of linear equation is inconsistent if

• System has no solution A
• System has one solution B
• System has two solution C
• None of above D

For trival solution |A| is

• A A
• |A| = 0 B
• A = 0 C
• |A|≠ 0 D

• At A
• -A B
• A C
• A-1 D

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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

If the matrices A and B are conformable for multiplication then (AB)^t= ______

• AB A
• A^tB^t B
• B^tA^t C
• A^tB 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

A matrix with a single row is called a

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

• -a -b -c A
• 1 B
• 0 C
• -1 D

(ABC)' =

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

If A is singular then |A| = ______

• 1 A
• 0 B
• 2 C
• None of these D