5.2 A2 Solving Matrices

To add or subtract matrices, which of the following must be true?

• They are the same matrix

• They have the same dimensions

• Rows in the 1st matrix must have the same # of terms as the columns as the 2nd matrix

• All matrices can be added

Tags

CCSS.HSN.VM.C.8

Find 2A-3B

• -3 1

  7 -1

• 1 0

  1 -4

• -4 0

  6 -1

• -14 -5

  11 -3

Tags

CCSS.HSN.VM.C.7

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

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

What are the ORDER of this matrix?

• 2 x 3

• 3 x 2

• 6 x 1

• 1 x 6

Subtract

• -5
  -8
  3
  10
• -9
  8
  3
  2
• 5
  -8
  3
  10
• -5
  8
  3
  2

Tags

CCSS.HSN.VM.B.4

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.8

What comes first in the order?

• Row
• Column

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

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

• 2

• 7

• 4

• -3

Tags

CCSS.HSN.VM.C.8

What is a₂₃

• 14

• 4

• 1

• 3

Tags

CCSS.HSA.REI.C.8