Question # 1

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1

-1

-6

6

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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ab - cd = 0

ac - bd = 0

ad - bc = 1

ad - bc = 0

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

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25

20

40

2a + 2b + 2c

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3×2

2×3

2×2

3×3

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

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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3×1

1×3

3×3

1×1

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The additive inverse of a matrix A is:

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A

A^-1

- A

A²

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2

-2

5

-5

A^-1 exists if A is:

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singular

nonsingular

symmetric

none

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

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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 in which each element is 0 is called:

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

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k |A|

k²|A|

k³ |A|

k⁴ |A|

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scalar matrix

diagonalmatrix

triangularmatrix

none of these

If a matrix A is symmetric as well as skew symmetric, then:

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A is null matrix

A is unit matrix

A is triangular matrix

A is diagonal matrix

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