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

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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

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 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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9

-9

-6

none

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1

-5

-1

none

A matrix in which each element is 0 is called:

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If A and B are two matrices, then:

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A B = O

AB = BA

AB = I

AB may not be defined

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zero

non-singular

singular

none of these

If two rows (or two columns) in a square matrix are identical (i.e. corresponding elements are equal), the value of the determinant is:

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0

1

-1

±1

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diagonal matrix

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 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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ab - cd = 0

ac - bd = 0

ad - bc = 1

ad - bc = 0

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2

-2

5

-5

If the matrices A & B have the orders 2×3 and 5×2 then order BA is:

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3×5

5×2

2×2

none

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1

-1

-6

6

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singular

non-singular

rectangular

null

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3×1

1×3

3×3

1×1

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