Question # 1

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

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

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None

The order of a matrix is shown by:

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number of columns + number of rows

number of rows × number of columns

number of columns - number of rows

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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2

-2

5

-5

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1

-5

-1

none

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diagonal matrix

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

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3

-3

1/3

-1/3

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3×2

2×3

2×2

3×3

If each element of a 3 × 3 matrix A is multiplied by 3, then the determinant of the resulting matrix is:

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|A|³

27|A|

3|A|

9|A|

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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3×3

3×2

2×1

2×3

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5

14

20

6

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5

-5

-4

4

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

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

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9

-9

-6

none

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