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

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

What do w, x, y and z equal in this matrix subtraction?

• w = 13, x = 4, y = 7, z = 23
• w = 13, x = -4, y = 11, z = 23
• w = 13, x = 4, y = 11, z = 23
• w = 13, x = 4, y = 11, z = 17

Tags

CCSS.HSA.CED.A.3

Subtract

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

Tags

CCSS.3.NBT.A.2

What do m, n, p and q equal in this scalar matrix multiplication?

• m=8, n=9, p=-4, q=4 
• m=15, n = -45, p=20, q=-5
• m=20, n=-5, p=15, q=-45
• m=-5, n=20, p=-45, q=15

Tags

CCSS.HSN.VM.C.7

Determine whether each matrix product is defined.  If so, what are the dimensions of the product.
A_2x3  B_2x5

• no
• yes, 2 x 5
• yes , 3 x 5
• yes , 2 x 3

Tags

CCSS.HSA.APR.A.1

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

Multiply

• 1   2
  6   -8
• -3   -5
  -5   -11
• -2     8
  -6   -12
• 2  -3
  5   -2

Tags

CCSS.HSN.VM.C.8

• A
• B
• C
• D

Tags

CCSS.HSN.VM.C.8

Find the product.

• undefined
• -3   16
  17   12
  8   -10
• 3   12 
  -15  -8
  -1   -3

Tags

CCSS.HSN.VM.C.8