Question # 1

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

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

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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5

-5

-4

4

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zero

non-singular

singular

none of these

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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

If AB = BA = I, then A and B are:

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equal to each other

multiplicative inverse of each other

additive inverse of each other

both singular

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diagonal matrix

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ab - cd = 0

ac - bd = 0

ad - bc = 1

ad - bc = 0

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5

14

20

6

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

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None

If A = [a_ij], B = [b_ij] and AB = 0 then:

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A = 0

B = 0

either A = 0 or B = 0

A & B not necessarily zero

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25

20

40

2a + 2b + 2c

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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diagonal matrix

A^-1 exists if A is:

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singular

nonsingular

symmetric

none

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