Question # 1

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scalar matrix

diagonalmatrix

lower triangularmatrix

upper triangularmatrix

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3×1

1×3

3×3

1×1

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

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singular

non-singular

rectangular

null

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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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

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 A is non singular matrix then A^t is:

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singular

nonsingular

symmetric

none

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scalar matrix

diagonalmatrix

triangularmatrix

none of these

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1

-1

-6

6

[0] is a:

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5

-5

-4

4

If A and B are two matrices, then:

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A B = O

AB = BA

AB = I

AB may not be defined

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)

A matrix of order m×1 is called:

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row matrix

column matrix

identity matrix

scalar matrix

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

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diagonal matrix

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1

-5

-1

none

If A is a square matrix, then:

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|A^t| = A

|A^t| = -A

|A^t| = |A|

A^t= A

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