Question # 1

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ab - cd = 0

ac - bd = 0

ad - bc = 1

ad - bc = 0

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

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3×2

2×3

2×2

3×3

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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A^-1 exists if A is:

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singular

nonsingular

symmetric

none

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zero

non-singular

singular

none of these

A matrix in which each element is 0 is called:

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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)

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None

The additive inverse of a matrix A is:

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A

A^-1

- A

A²

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scalarmatrix

diagonalmatrix

lower triangularmatrix

uppertriangularmatrix

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singular

non-singular

rectangular

null

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scalar matrix

diagonalmatrix

lower triangularmatrix

upper triangularmatrix

If a matrix A is symmetric as well as skew symmetric, then:

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A is null matrix

A is unit matrix

A is triangular matrix

A is diagonal matrix

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 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

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

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diagonal matrix

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