Operations on Matrices

What must be true in order to ADD two matrices?

• They must be square.
• The dimensions must be equal.
• The determinant can't equal 0.
• The column of the 1st must equal the row of the 2nd.

Tags

CCSS.HSN.VM.C.8

Add

• 11    8
  -4     2
• 3     2
  -6    -6
• -3    2
  -4    -6
• 10    8
  -6    2

Tags

CCSS.HSN.VM.C.8

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

Tags

CCSS.HSN.VM.C.8

Find B-A

• -3     1
  7     -1
• 1     0
  1     -4
• 4       0
  6     -1
• not possible because rows do not match columns

Tags

CCSS.HSN.VM.C.8

How many rows are in a 7 x 3 matrix?

• 7
• 3
• 21
• 10

Tags

CCSS.3.OA.A.3

How many columns are in a 5 x 4 matrix?

• 5
• 4
• 20
• 9

Tags

CCSS.HSN.VM.C.6

You can multiply a 2X3 matrix by which matrix?

• 2X2
• 2X12
• 3X12
• 2X3

Tags

CCSS.HSN.VM.C.8

find: B*A

• 47     30
  9     5
• 17     15
  42     35
• 10     25
  7     1
• not possible because rows do not match columns

Tags

CCSS.HSN.VM.C.8

Multiply

• 25
  25
  5
• -25
  25
  -5
• -10
  -10
  -6
• 10
  10
  6

Tags

CCSS.HSN.VM.C.11

Multiply

• 20     15    -10
  30     -5         0
• -20      15     -10
  30     -5          0
• 1        8       3
  11     4        5
• 20     -15     10
  -30         5        0  

Tags

CCSS.HSN.VM.C.7