Question # 1

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5

-5

-4

4

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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singular

non-singular

rectangular

null

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scalar matrix

diagonalmatrix

triangularmatrix

none of these

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5

14

20

6

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40

-40

26

-26

If A and B are two matrices, then:

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A B = O

AB = BA

AB = I

AB may not be defined

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

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singular

nonsingular

symmetric

none

[0] is a:

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None

A matrix of order m×1 is called:

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row matrix

column matrix

identity matrix

scalar matrix

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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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2

-2

5

-5

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ab - cd = 0

ac - bd = 0

ad - bc = 1

ad - bc = 0

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3

-3

1/3

-1/3

The additive inverse of a matrix A is:

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A

A^-1

- A

A²

Two matrices X and Y are equal if and only if:

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X and Y are of same order

Their corresponding elements are equal

Both a and b

None of these

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1

-1

-6

6

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

If A = [aij] and B = [bij] are two matrices of same order r × s, then order of A - B is:

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r - s

r × s

r + s

none of these

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