Question # 1

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3×1

1×3

3×3

1×1

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diagonal matrix

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

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 non singular matrix then A^t is:

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singular

nonsingular

symmetric

none

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

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

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k |A|

k²|A|

k³ |A|

k⁴ |A|

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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3×3

3×2

2×1

2×3

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

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diagonal matrix

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5

14

20

6

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3

-3

1/3

-1/3

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ab - cd = 0

ac - bd = 0

ad - bc = 1

ad - bc = 0

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

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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

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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11th Class FSC Mathematics Chapter 3 Test Online MCQs With Answers

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