# Inverse matrix

Find out inverse by Gauss elimination or by reduction method.
A=[2/3. 1
-3. 1/3]

Result

a =  0.103
b =  -0.31
c =  0.931
d =  0.207

#### Solution:

2/3a+1c = 1
2/3b + 1d = 0
-3a + 1/3c = 0
-3b + 1/3d = 1

2a+3c = 3
2b+3d = 0
9a-c = 0
9b-d = -3

a = 329 ≈ 0.103448
b = -929 ≈ -0.310345
c = 2729 ≈ 0.931034
d = 629 ≈ 0.206897

Calculated by our linear equations calculator.

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

#### To solve this verbal math problem are needed these knowledge from mathematics:

Do you have a system of equations and looking for calculator system of linear equations?

## Next similar examples:

1. Inverse matrix
Find how many times is the larger determinant is the matrix A, which equals 9 as the determinant of its inverse matrix.
2. The determinant
The determinant of the unit matrix equals 7. Check how many rows the A matrix contains.
3. Elimination method
Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15
4. Family
Family has 4 children. Ondra is 3 years older than Matthew and Karlos 5 years older than the youngest Jane. We know that they are together 30 years and 3 years ago they were together 19 years. Determine how old the children are.
5. Theorem prove
We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
6. Linsys2
Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
7. Ball game
Richard, Denis and Denise together scored 932 goals. Denis scored 4 goals over Denise but Denis scored 24 goals less than Richard. Determine the number of goals for each player.
8. Gasoline canisters
35 liters of gasoline is to be divided into 4 canisters so that in the third canister will have 5 liters less than in the first canister, the fourth canister 10 liters more than the third canister and the second canister half of that in the first canist
9. Legs
Cancer has 5 pairs of legs. The insect has 6 legs. 60 animals have a total of 500 legs. How much more are cancers than insects?
10. Three unknowns
Solve the system of linear equations with three unknowns: A + B + C = 14 B - A - C = 4 2A - B + C = 0
11. AP - basics
Determine first member and differentiate of the the following sequence: a3-a5=24 a4-2a5=61
12. Three workshops
There are 2743 people working in three workshops. In the second workshop works 140 people more than in the first and in third works 4.2 times more than the second one. How many people work in each workshop?
13. Tickets
Tickets to the zoo cost \$4 for children, \$5 for teenagers and \$6 for adults. In the high season, 1200 people come to the zoo every day. On a certain day, the total revenue at the zoo was \$5300. For every 3 teenagers, 8 children went to the zoo. How many te
14. Median and modus
Radka made 50 throws with a dice. The table saw fit individual dice's wall frequency: Wall Number: 1 2 3 4 5 6 frequency: 8 7 5 11 6 13 Calculate the modus and median of the wall numbers that Radka fell.
15. Men, women and children
On the trip went men, women and children in the ratio 2:3:5 by bus. Children pay 60 crowns and adults 150. How many women were on the bus when a bus was paid 4,200 crowns?
16. Nine books
Nine books are to be bought by a student. Art books cost \$6.00 each and biology books cost \$6.50 each . If the total amount spent was \$56.00, how many of each book was bought?
17. Null points
Calculate the roots of the equation: ?