Question # 1

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 = [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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diagonal matrix

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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1

-1

-6

6

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diagonal matrix

If AB = BA = I, then A and B are:

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equal to each other

multiplicative inverse of each other

additive inverse of each other

both singular

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None

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5

-5

-4

4

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25

20

40

2a + 2b + 2c

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scalar matrix

diagonalmatrix

triangularmatrix

none of these

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

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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

For a square matrix A, |A| equals:

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A^t

|A^t|

-|A^t|

-A^t

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

A matrix of order m×1 is called:

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row matrix

column matrix

identity matrix

scalar matrix

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 matrix in which each element is 0 is called:

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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|

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

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

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