Question # 1

Minors and co-factors of the elements in a determinant are equal in magnitude but they may differ in:

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order

position

sign

symmetry

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5

-5

-4

4

A^-1 exists if A is:

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singular

nonsingular

symmetric

none

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25

20

40

2a + 2b + 2c

For a square matrix A, |A| equals:

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A^t

|A^t|

-|A^t|

-A^t

A matrix of order m×1 is called:

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row matrix

column matrix

identity matrix

scalar matrix

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zero

non-singular

singular

none of these

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3×1

1×3

3×3

1×1

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[0] is a:

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If A is non singular matrix then A^t is:

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singular

nonsingular

symmetric

none

The trivial solution of the homogeneous linear equations is:

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(1, 0, 0)

(0, 1, 0)

(0, 0, 1)

(0, 0, 0)

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5

14

20

6

A matrix in which each element is 0 is called:

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9

-9

-6

none

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scalar matrix

diagonalmatrix

triangularmatrix

none of these

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3×3

3×2

2×1

2×3

If any two rows of a square matrix are interchanged, the determinant of the resulting matrix:

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is zero

is multiplicative inverse of the determinant of the original matrix

is additive inverse of the determinant the original matrix

none of these

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scalar matrix

diagonalmatrix

lower triangularmatrix

upper triangularmatrix

If A is a square matrix order 3 × 3 the |kA| equals:

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k |A|

k²|A|

k³ |A|

k⁴ |A|

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2

-2

5

-5

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