Question # 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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3

-3

1/3

-1/3

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ab - cd = 0

ac - bd = 0

ad - bc = 1

ad - bc = 0

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scalar matrix

diagonalmatrix

lower triangularmatrix

upper triangularmatrix

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None

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

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 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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scalarmatrix

diagonalmatrix

lower triangularmatrix

uppertriangularmatrix

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9

-9

-6

none

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

For a square matrix A, |A| equals:

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A^t

|A^t|

-|A^t|

-A^t

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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40

-40

26

-26

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1

-5

-1

none

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 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|

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5

14

20

6

A matrix of order m×1 is called:

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row matrix

column matrix

identity matrix

scalar matrix

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zero

non-singular

singular

none of these

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Mathematics Fsc Part 1 Chapter 3 Online Test MCQs With Answers

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