Question # 1

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1

-1

-6

6

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

If A is a matrix of order m × n, then the number of elements in each row of A is:

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m

n

m + n

m - n

The additive inverse of a matrix A is:

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A

A^-1

- A

A²

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25

20

40

2a + 2b + 2c

For a square matrix A, |A| equals:

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A^t

|A^t|

-|A^t|

-A^t

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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

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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3×3

3×2

2×1

2×3

If A is non singular matrix then A^t is:

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singular

nonsingular

symmetric

none

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scalar matrix

diagonalmatrix

triangularmatrix

none of these

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zero

non-singular

singular

none of these

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ab - cd = 0

ac - bd = 0

ad - bc = 1

ad - bc = 0

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

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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5

-5

-4

4

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

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

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diagonal matrix

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