All Matrix Operations

What must be true in order to ADD two matrices?

• They must be square.

• Their dimensions must be equal.

• The number of columns of the 1st must equal the number of rows of the second.

• The number of rows of the 1st must equal the number of columns of the second.

Tags

CCSS.HSN.VM.C.8

What must be true in order to MULTIPLY two matrices?

• They must be square.

• Their dimensions must be equal.

• The number of columns of the 1st must equal the number of rows of the second.

• The number of rows of the 1st must equal the number of columns of the second.

Tags

CCSS.HSN.VM.C.8

What are the dimensions of this matrix?

• 2 x 3

• 3 x 2

• undefined

Tags

CCSS.HSN.VM.C.6

**Challenge problem: complete matrix operation shown

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Complete the matrix operation shown.

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Complete the matrix operation shown.

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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 A-B

• -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

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.8

Can the operation be performed?

• Yes
• No
• Sometimes
• only Mrs. Jordan knows

Tags

CCSS.HSN.VM.C.8