Question # 1

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1

-1

-6

6

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40

-40

26

-26

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singular

non-singular

rectangular

null

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diagonal matrix

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 A is non singular matrix then A^t is:

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singular

nonsingular

symmetric

none

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diagonal matrix

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scalar matrix

diagonalmatrix

lower triangularmatrix

upper triangularmatrix

[0] is a:

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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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5

14

20

6

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

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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25

20

40

2a + 2b + 2c

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

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k |A|

k²|A|

k³ |A|

k⁴ |A|

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

A matrix in which each element is 0 is called:

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3×1

1×3

3×3

1×1

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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