Question # 1

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ab - cd = 0

ac - bd = 0

ad - bc = 1

ad - bc = 0

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diagonal matrix

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

A^-1 exists if A is:

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singular

nonsingular

symmetric

none

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diagonal matrix

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

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)

If A is a matrix of order m × n and B is a matrix of order n × p then the order of AB is:

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p×m

p×n

n×p

m×p

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singular

non-singular

rectangular

null

If each element in any row or each element in any column of a square matrix is zero, then value of the determinant is:

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0

1

-1

none of these

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1

-5

-1

none

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3×3

3×2

2×1

2×3

If A is a square matrix, then A - A^t is:

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If A is a square matrix, then A + A^t is:

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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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25

20

40

2a + 2b + 2c

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

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k |A|

k²|A|

k³ |A|

k⁴ |A|

The additive inverse of a matrix A is:

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A

A^-1

- A

A²

A matrix in which each element is 0 is called:

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9

-9

-6

none

If each element of a 3 × 3 matrix A is multiplied by 3, then the determinant of the resulting matrix is:

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|A|³

27|A|

3|A|

9|A|

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