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Multiply Matrices
Inverse
Guassian Elimination
Rank
Number of solutions
100
A= -2 0 3 4 4 1 B= -1 3 Find AB
-8 -2 8 15
100
Use Gaussian elimination to solve 5x + 4y – z = 0 10y – 3z = 11 z = 3
(x, y, z) = (–1, 2, 3).
100
Find the rank of the matrix below 1 2 2 2 5 3 3 8 4
2
100
How many solutions does this matrix have 1 2 5 7 0 1 3 4 0 0 0 1
None
200
1 C=2 3 -217.35 D= 3.76 1.23 Find CD
InCompatable
200
2y + z = −8 x − 2y − 3z = 0 −x + y+ 2z = 3. Solve using gaussian elim
x= −4 y= −5 z= 2
200
How many solutions does this matrix have 1 2 -3 1 0 1 5 -2 0 0 0 0
Infinite
300
1 3 e=4 0 0 6 d= 4 1 0 6 2 0 find ed
22 7 0 16 4 0 36 12 0
300
x − 2y − 6z = 12 2x + 4y + 12z= −17 x − 4y − 12z = 22.
No solutions
300
How many solutions does this matrix have 1 6 -1 3 0 1 2 -2 0 0 1 8
One solution
400
Determine if Matrices are inverses of eachother 3 3 -1 A=-2 -2 1 -4 -5 2 1 -1 1 B= 0 2 -1 2 3 0
Yes
400
x1 +2x2 +x3 +4x4 = 1 x1 +2x2 +2x3 +6x4 = 2 2x1 +4x2 +5x3 +14x4 = 5 3x1 +6x2 +7x3 +20x4 = 7
No solution
500
Find the solution to the system -3x-5y+36x=10 -x+7z=5 x+y-10z=-4
x=7t-5 y=3t+1 z=t