Matrix Operation Review

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

[A] is a 5x3 matrix.

[B] is a 3x5 matrix.

Determine whether the matrix product of [B]*[A] is defined. If so, what are the dimensions of the product?

• undefined

• 3x3

• 5x5

• 3x5

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     0
• not possible because rows do not match columns

Tags

CCSS.HSN.VM.C.8

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

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

Perform the matrix multiplication, if possible.

• 
• 
• 
• Cannot be multiplied, dimensions not compatible.

Tags

CCSS.HSN.VM.C.8

Perform the matrix multiplication, if possible.

• 
• 
• 
• Cannot be multiplied, dimensions not compatible.

Tags

CCSS.HSN.VM.C.8