Question # 1

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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singular

non-singular

rectangular

null

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

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k |A|

k²|A|

k³ |A|

k⁴ |A|

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

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5

14

20

6

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If A is a square matrix, then:

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|A^t| = A

|A^t| = -A

|A^t| = |A|

A^t= A

The additive inverse of a matrix A is:

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A

A^-1

- A

A²

For a square matrix A, |A| equals:

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A^t

|A^t|

-|A^t|

-A^t

A matrix of order m×1 is called:

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row matrix

column matrix

identity matrix

scalar matrix

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 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

A matrix in which each element is 0 is called:

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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

If A and B are two matrices, then:

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A B = O

AB = BA

AB = I

AB may not be defined

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

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

[0] is a:

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scalar matrix

diagonalmatrix

lower triangularmatrix

upper triangularmatrix

The trivial solution of the homogeneous linear equations is:

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(1, 0, 0)

(0, 1, 0)

(0, 0, 1)

(0, 0, 0)

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