Matrices, Vectors, and Complex Numbers Review

If w = <2, -5> and y = <2, 0>, find 2w + y

• <-10, 2>

• <4, -5>

• <-6, 10>

• <6, -10>

find: B*A

• 47     30
  9     5
• 17     15
  42     35
• 10     25
  7     1
• not possible because rows do not match columns

Add the matrices.

• 11  8

  -4  2

• 3  2

  -6  -6

• -3  2

  -4  -6

• 10  8

  -6  2

Subtract the matrices.

• 3 -8

  0 -1

• 3 -4

  8 -13

• -3 8

  0 1

• 3 -8

  -8 1

Find A-B

• -3 1

  7 -1

• 1 0

  1 -4

• -4 0

  6 -1

• not possible because rows do not match columns

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

What are the dimensions of this matrix?

• 2 x 3
• 3 x 2
• 6 x 1
• 1 x 6

Find A+B

• 8 10

  8 1

• 12 25

  7 1

• -4 6

  0 1

• can't add two together because the rows dont match columns

In Matrix R (pictured) what number is in the second row, third column?

• 8

• 9.01

• 6

• 1

Perform scalar multiplication on the matrix

• A
• B
• C
• D