Free Printable XII-Business Maths-Chapter 1

1.

1)If T= is a transition probability matrix, the value of x is ________________________

a)

0.2

b)

0.3

c)

0.4

d)

0.7

2.

$\rho\left(A\right)$ 2)If A=,then is ________

a)

0

b)

1

c)

2

d)

n

3.

3)|adj A | = ____________

a)

$\left|A^{n^2}\right|$

b)

$\left|A^n-1\right|$

c)

$\left|A^n-1\right|$

d)

none of these

4.

$\left|A\right|$ =0, then A is a ____________

4)If

a)

non-singular matrix

b)

singular matrix

c)

matrix

d)

none of these

5.

$\left|adj\ A\right|$ =243, $\left|A_{nXn}\right|$ =3, and ,then the value of n is __________

5)

a)

4

b)

5

c)

6

d)

7

6.

6)Rank of a non-singular matrix of order nXn is _________

a)

1

b)

2

c)

3

d)

n

7.

7)The system of linear equations x+y+z =2, 2x+y-z=3, 3x+2y+k=4 has unique solution, if k is not equal to _____

a)

4

b)

0

c)

-4

d)

1

8.

8)Rank of the matrix is the order of the ______________ non-zero minor of A

a)

smallest

b)

largest

c)

least

d)

greatest

9.

$\left|A\right|\ne$ 0, then A is

9)If

a)

non-singular matrix

b)

singular matrix

c)

zero matrix

d)

none of these

10.

$\rho\left(A\right)$ = r then which of the following is correct ?

10)If

a)

all the minors of order r which does not vanish

b)

A has atleast one minor of order r which does not vanish

c)

A has atleast one (r+1) order minor which vanishes

d)

all (r+1) and higher order minors should not vanish

XII-Business Maths-Chapter 1

Total questions: 10

Worksheet time: 5mins

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