SINGULAR MATRIX AND NONSINGULAR MATRIX WORKSHEET

Identify the singular and non-singular matrix.

Problem 1 :

149491691625

Solution

Problem 2 :

123456-2-4-6

Solution

Problem 3 :

Solve:

2x4321123=-3

Solution

Problem 4 :

4393-2744x=-1

Solution

Problem 5 :

Find the value of the determinant 264-5-15-10132 without usual expansion.

Solution

Problem 6 :

Solve:

x-1xx-20x-2x-300x-3=0

Solution

Problem 7 :

Solve for x if 010x2x13x=0

Solution

Problem 8 :

Solve for x if x57x+1-2-11=0

Solution

Answer Key

1)  -8, It is not equal to zero. Hence it is non singular matrix

2)  0, Hence the matrix is singular matrix.

3)  x = 27/8

4)  x = 9

5)  0

6) x = 1, 2, 3

7)  x = 0 and x = 1

8)  x = 6 and -6.

Evaluate the following determinants.

Problem 1 :

02-41

Solution

Problem 2 :

-40-55

Solution

Problem 3 :

5-5-5-3-35345

Solution

Problem 4 :

3-142-254-10

Solution

Evaluate each determinant.

Problem 5 :

1-2-1-233-1-34

Solution

Problem 6 :

32-51-2-455-1

Solution

Find the area of a triangle with the given vertices.

Problem 7 :

(-2, 5), (6, 3) and (0, -8)

Solution

Problem 8 :

(2, 5.5), (-3.5, 12) and (-5, -1.5)

Solution

Answer Key

1) 8

2)  -20

3)  -310

4)  19

5)  2

6)  -47

7)  k = 50

8)  42 square units

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