Question # 1

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

A matrix of order m×1 is called:

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row matrix

column matrix

identity matrix

scalar matrix

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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

A^-1 exists if A 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

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1

-1

-6

6

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singular

non-singular

rectangular

null

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zero

non-singular

singular

none of these

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

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k |A|

k²|A|

k³ |A|

k⁴ |A|

[0] is a:

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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)

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

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 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 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

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5

14

20

6

A matrix in which each element is 0 is called:

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