Matrix Operations

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

Dimensions?

• a
• b
• c
• d

Add

• [11 8]

  [-4 2]

• [3 2]

  [-6 -6]

• [-3 2]

  [-4 -6]

• [10 8]

  [-6 2]

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

Multiply

• [25]

  [25]

  [ 5 ]

• [-25]

  [ 25]

  [ -5 ]

• [-10]

  [-10]

  [ -6 ]

• [10]

  [10]

  [ 6 ]

Subtract

• [-5 ]

  [-8 ]

  [ 3 ]

  [10]

• [-9]

  [ 8]

  [ 3]

  [ 2]

• [ 5 ]

  [-8 ]

  [ 3 ]

  [10]

• [-5]

  [ 8]

  [ 3]

  [ 2]

What is a Matrix?

• An equation of over 5 numbers or symbols 
• A set of numbers in rows and columns
• A method of finding the n^th value of a series
• A complicated number system

Determine AC 

• [-10     -3]
  [8           4]
• undefined
• [10      8]
  [5       -4]
• [-2    3    5]
  [-8    4    2]

Tags

CCSS.HSA.REI.C.9

Multiply the matrices

• A
• B
• C
• D

Tags

CCSS.HSN.VM.C.8