Matrix

Add/Subtract/Scalar Multiply

100

[[2,5],[-2,8]]+[[1,4],[5,0]]

[[3,9],[3,8]]

200

[[8,16,-3],[2,20,10]]-[[5,11,7],[-3,6,6]]

[[3,5,-10],[5,14,4]]

300

[[5,10,20],[8,6,5]]+[[3,8,5],[2,9,3]]

[[8,18,25],[10,15,8]]

400

5[[4,5,1],[0,-2,7]]

[[20,25,5],[0,-10,35]]

500

1.5[[4,-1,5,0,9],[11,8,-3,6,9],[1,-2,6,9,10]]

[[6,-1.5,7.5,0,13.5],[16.5,12,-4.5,9,13.5],[1.5,-3,9,13.5,15]]

Solve for Element variable

100

[[2,3],[1,x]]+[[4,3],[6,6]]=[[6,6],[7,11]] 

x=5

200

[[6,3,x],[5,9,2]]+[[4,1,11],[-4,9,6]]=[[10,4,22],[1,18,8]]

x=11

300

[[8,10,-3],[2,2,1]]-[[7,2,1],[x,6,4]]=[[1,8,-4],[6,-4,-3]]

x=-4

400

2[[1,6,5]]+[[4,x,1]]=[[6,15,11]]

x=3

500

5[[-3,1,6],[4,1,1]]+2[[5,11,2],[2,9,x]]-4[[1,0,2],[4,1,1]]=[[-9,27,26],[8,19,17]]

x=8

Multiplication

100

[[3,1],[2,2]]*[[4,1],[2,1]]

[[14,4],[12,4]]

200

[[6,2],[-1,5]]*[[2],[1]]

[[14],[3]]

300

[[0,-3,-5],[4,-5,-6]]*[[-3],[-3]]

Undefined

400

[[-1],[4],[1]]*[[2,6]]

[[-2,-6],[8,24],[2,6]]

500

*****DAILY DOUBLE*****

[[-2,6],[2,5],[5,0],[-6,4]]*[[-6,3,2],[6,-2,-3]]

[[48,-18,-22],[18,-4,-11],[-30,15,10],[60,-26,-24]]

Inverse

100

What is the inverse matrix (with NO dividing by the determinant) of the following matrix:

[[4,9],[8,5]]

[[5,-9],[-8,4]]

200

What is the determinant of the following matrix:

[[4,9],[8,5]]

-52

300

What is the inverse matrix (with NO dividing by the determinant) of the following matrix:

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

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

400

Find the determinant of the following matrix:

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

8

500

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

Find the full inverse (including dividing) for the following matrix:

[[1/4,1/2],[-3/8,5/4]]

Solve for Missing Matrix

100

[[10,1],[6,2]]+A=[[14,7],[15,4]]

[[4,6],[9,2]]

200

[[14,10,2],[3,0,9]]-A=[[2,9,0],[1,4,8]]

[[12,1,2],[2,-4,1]]

300

3B=

[[9,24,33,3],[3,30,9,18],[9,6,15,90]]

[[3,8,11,1],[1,10,3,6],[3,2,5,30]]

400

2A-[[4,2],[8,9]]=[[2,6],[4,5]]

[[3,4],[6,7]]

500

3A+[[1,9,12,6],[18,7,5,3]]=[[13,12,22,17],[14,15,20,10]]

[[4,1,10/3,11/3],[-4/3,8/3,15/3,7/3]]