Question # 1

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3×2

2×3

2×2

3×3

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2

-2

5

-5

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scalar matrix

diagonalmatrix

lower triangularmatrix

upper triangularmatrix

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

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zero

non-singular

singular

none of these

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5

-5

-4

4

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

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40

-40

26

-26

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

If A = [aij] and B = [bij] are two matrices of same order r × s, then order of A - B is:

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r - s

r × s

r + s

none of these

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3

-3

1/3

-1/3

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1

-5

-1

none

A^-1 exists if A is:

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singular

nonsingular

symmetric

none

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9

-9

-6

none

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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diagonal matrix

The additive inverse of a matrix A is:

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A

A^-1

- A

A²

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