Question # 1

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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None

A matrix in which each element is 0 is called:

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9

-9

-6

none

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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2

-2

5

-5

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zero

non-singular

singular

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 = [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

A matrix of order m×1 is called:

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row matrix

column matrix

identity matrix

scalar matrix

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scalar matrix

diagonalmatrix

lower triangularmatrix

upper triangularmatrix

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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