Free Printable KAS103T- Unit-1-Matrices

1.

B.Tech-I : Section

a)

E : LT-9

b)

F: LT-10

c)

G: LT-11

2.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

3.

Find A-B

a)

-3 1
7 -1

b)

1 0
1 -4

c)

-4 0
6 -1

d)

not possible because rows do not match columns

4.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

5.

Multiply

a)

20 15 -10
30 -5 0

b)

-20 15 -10
30 -5 0

c)

1 8 3
11 4 5

d)

20 -15 10
-30 5 0

6.

What are the dimensions of this matrix?

a)

3x1

b)

1x3

c)

3x3

d)

1x1

7.

How many columns are in a 5 x 4 matrix?

a)

5

b)

4

c)

20

d)

9

8.

You can multiply a 2X3 matrix by which matrix?

a)

2X2

b)

2X12

c)

3X12

d)

2X3

9.

Find the product of the two matrices.

a)

undefined

b)

-3 16
17 12
8 -10

c)

3 12
-15 -8
-1 -3

10.

In Matrix R (pictured) what element is a₂₃?

a)

8

b)

9.01

c)

6

d)

1

11.

find: B*A

a)

47 30
9 5

b)

17 15
42 35

c)

10 25
7 1

d)

not possible because rows do not match columns

12.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions must be equal.

c)

The determinant can't equal 0.

d)

The column of the 1st must equal the row of the 2nd.

13.

Perform the indicated operation. If it’s not possible, select Not Possible.

a)

7
-7
-6
20

b)

7
-9
-6
20

c)

Not Possible

d)

7
-9
2
20

14.

If Eigen Values of Matrix A are 2,2,8 then what will be the determinant of matrix A

a)

16

b)

12

c)

32

d)

2

15.

If Trace of a matrix of order 3X3 is 8, and two eigenvalues are 2 and 3. what will be the third Eigen Value?

a)

3

b)

2

c)

24

d)

0

16.

Rank of matrix reflects

a)

Total number of Rows in the matrix

b)

Total number of independent Rows in the matrix

c)

Total number of elements in the matrix

d)

Total number of columns in the matrix

17.

System of simultaneous linear equations AX=B have unique solution if

a)

Augmented Matrix C=[B B]

Rank of C=Rank of A < Number Of Variables

b)

Augmented Matrix C=[A A]

Rank of C=Rank of A > Number Of Variables

c)

Augmented Matrix C=[A B]

Rank of C=Rank of A=Number Of Variables

N

d)

Augmented Matrix C=[A B]

Rank of C=Rank of A $\ne$ Number Of Variables

18.

System of simultaneous linear equations AX=B have infinitely many solution if

a)

Augmented Matrix C=[A B]

Rank of C=Rank of A < Number Of Variables

b)

Augmented Matrix C=[A B]

Rank of C=Rank of A > Number Of Variables

c)

Augmented Matrix C=[A B]

Rank of C=Rank of A=Number Of Variables

d)

Augmented Matrix C=[A B]

Rank of C=Rank of A $\ne$ Number Of Variables

19.

System of simultaneous linear equations AX=B have no solution if

a)

Augmented Matrix C=[A B]

Rank of C=Rank of A < Number Of Variables

b)

Augmented Matrix C=[A B]

Rank of C=Rank of A> Number Of Variables

c)

Augmented Matrix C=[A B]

Rank of C=Rank of A=Number Of Variables

d)

Augmented Matrix C=[A B]

Rank of C $\ne$ Rank of A

20.

System of simultaneous linear equations AX=O have Trivial Solution if

a)

Rank of A = Number Of Variables

b)

Rank of A < Number Of Variables

c)

Rank of A > Number Of Variables

d)

Rank of A $\ne$ Number Of Variables

21.

System of simultaneous linear equations AX=O have Non-Trivial Solution if

a)

Rank of A = Number Of Variables

b)

Rank of A < Number Of Variables

c)

Rank of A > Number Of Variables

d)

Rank of A is zero

22.

Eigen Values are Unique (True/False)

a)

True

b)

False

23.

Matrix A is Symmetric

a)

|A|=0

b)

|A| $\ne$ 0

c)

A=A^T

d)

A=-A^T

24.

Inverse of Matrix A does not exist if

a)

A is singular

b)

A is non singular

c)

A is symmetric

d)

A is Skew symmetric

25.

A.B=I then

a)

A is inverse of B

b)

B is Inverse of A

c)

A and B both are inverse matrices to each other

d)

All are Correct

26.

Matrix A is Hermitian

a)

$\overline{A^T}$ =A

b)

$\overline{A^T}$ = $\ne$ A

c)

$\overline{A^{ }}$ =A

d)

$A^T$ =A

27.

Eigen Values of a Matrix are 2, -1, and 6 then Eigen Values of Matrix A^-1are

a)

-2, 1 and -6

b)

2, -1 and 6

c)

6 ,-1 and 2

d)

$\frac{1}{2}\ ,\ -1\ and\ \frac{1}{6}$

28.

Eigen Values of a Matrix are 2, -1, and 3 then Eigen Values of Matrix A²+2A+Iare

a)

-2, 1 and -3

b)

2, -1 and 3

c)

9 ,0 and 16

d)

$\frac{1}{2}\ ,\ -1\ and\ \frac{1}{3}$

29.

Interchange of elements of one row with corresponding elements of any other row is called ELEMENTARY TRANSFORMATION

a)

TRUE

b)

FALSE

30.

Every Squre matrix Satisfy Its own characteristics equation

a)

TRUE

b)

FALSE

31.

By performing Elementary Transformations we can Change the Rank Of the matrix

a)

False

b)

True

KAS103T- Unit-1-Matrices

Total questions: 31

Worksheet time: 30mins

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