Unit 8 (Matrices) Final Jeopardy

Add/Sub/Scalar Mult.

100

Find 2A

A=[[3,-1,6],[2,5,8]]

[[6,-2,12],[4,10,16]]

200

Find A - B

A=[[0,5,-3],[2,5,-4]]

B=[[5,-1,0],[1,0,5]]

[[-5,6,-3],[1,5,-9]]

300

Given the matrices A and B shown below, find 3A+B

A=[[-5,2,6],[1,6,-5]] 

B=[[-7,11,-1],[11,-7,-7]]

[[-22,17,17],[14,11,-22]]

Multiply

100

Determine the order of the answer matrix if you multiply A times B.

A=[[-1,1,2],[-6,-6,2],[7,-1,-8],[2,9,-1],[4,-8,1]]

B=[[6,3,-9,3],[0,-2,8,-3],[-1,-5,-1,2]]

5 x 4

200

Multiply A times B

A=[[-2,-4,0],[0,4,-1]]

B=[[0,2,-2],[-1,-1,1],[1,-3,-1]]

[[4,0,0],[-5,-1,5]]

300

Multiply A and B

A=[[0],[4]]

B=[[-1,-1,1,-3]]

[[0,0,0,0],[-4,-4,4,-12]]

Inverses

100

Find the inverse of the matrix:

[[7,-10],[-2,4]]

A^-1=[[1/2,5/4],[1/4,7/8]]

200

Find the inverse of the matrix:

[[7,3,3],[-1,-1,-2],[-6,-3,-4]]

[[-2,3,-3],[8,-10,11],[-3,3,-4]]

Determinants

100

Find the determinant of the matrix:

[[3,4],[-1,6]]

22

200

Find the determinant of the matrix:

[[-2,-8,1],[1,7,5],[-1,-8,-4]]

-17

Cramer's Rule

100

Use Cramer's Rule to solve for y:

-3x+5y=2

9x-2y=-1

y=5/13

200

Use Cramer's Rule to solve for z:

-10x+y-4z=-1

6x-3y-6z=-5

-2x+2y+4z=3

z=2/3

Solve Systems

100

Solve the system:

-6x+5y+4z=-6

-2x+y+8z=-10

-2x+y+2z=2

(-7,-8,-2)

200

Solve the system:

2x+y-z=2

3x+3y-2z=3

(1+1/3z,1/3z,z)

300

Solve the system:

2w-x+3y+z=0

3w+2x+4y-z=0

5w-2x-2y-z=0

2w+3x-7y-5z=0

(1/3z,2/3z,-1/3z,z)

Decode and Encode Messages

100

Encode:  "WATCH OUT"  using the coding matrix:

A=[[-2,0,-1],[-1,-1,-2],[5,0,2]]

-66,-64,155,-6,-11,15,-50,-76,115

200

Decode the message:

-51, -64, 115, -9, -37, 18, -56, -60, 136

using the coding matrix:

A=[[-2,0,-1],[-1,-1,-2],[5,0,2]]

MAY SIXTH