Question # 1

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

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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25

20

40

2a + 2b + 2c

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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3×2

2×3

2×2

3×3

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

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ab - cd = 0

ac - bd = 0

ad - bc = 1

ad - bc = 0

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scalarmatrix

diagonalmatrix

lower triangularmatrix

uppertriangularmatrix

A^-1 exists if A is:

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singular

nonsingular

symmetric

none

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5

-5

-4

4

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

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k |A|

k²|A|

k³ |A|

k⁴ |A|

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 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 A and B are two matrices, then:

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A B = O

AB = BA

AB = I

AB may not be defined

If any two rows of a square matrix are interchanged, the determinant of the resulting matrix:

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is zero

is multiplicative inverse of the determinant of the original matrix

is additive inverse of the determinant the original matrix

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

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 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

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None

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11th Class FA Mathematics Chapter 3 Online Test MCQs With Answers

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