Matrix Applications

find: B*A

• 47     30
  9     5

• 17     15
  42     35

• 10     25
  7     1

• not possible because rows do not match columns

Express the following simultaneous linear equations in matrix form:

x + z - 3y = 4

2x - 8y + 8z = -2

-15z + 3y - 6x = 9

• 
• 
• 
• 

Add

• 11    8
  -4     2

• 3     2
  -6    -6

• -3    2
  -4    -6

• 10    8
  -6    2

What is the value of element a₂₃?

• 2

• -1

• 6

• 1

Dimensions?

• a

• b

• c

• d

Find A+B

• 8     10
  8      1 

• 12     25
  7     1

• 10     30
  0     1

• can't add two together because the rows dont match columns

find: B*A

• 47     30
  9     5

• 17     15
  42     35

• 10     25
  7     1

• not possible because rows do not match columns

What are the dimensions of this matrix?

• 2 x 3

• 3 x 2

• 6 x 1

• 1 x 6

Find  the determinant of B.

• 11

• 1  

• -6    

• 13

Find the determinant of A.

• -35

• 1

• 14

• 10