# Inverse matrix

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

Correct result:

a =  0.1034
b =  -0.3103
c =  0.931
d =  0.2069

#### Solution:

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

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

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

a = 3/29 ≈ 0.103448
b = -9/29 ≈ -0.310345
c = 27/29 ≈ 0.931034
d = 6/29 ≈ 0.206897

Our linear equations calculator calculates it. We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you! Tips to related online calculators
Do you have a system of equations and looking for calculator system of linear equations?

## Next similar math problems:

• Elimination method Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15
• Line intersect segment Decide whether the line p : x + 2 y - 7 = 0 intersects the line segment given by points A[1, 1] and B[5, 3]
• Inverse matrix Find how many times is the larger determinant is the matrix A, which equals 9 as the determinant of its inverse matrix.
• Evaluation of expressions If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
• Hyperbola equation Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10]
• BW-BS balls Adam has a full box of balls that are large or small, black or white. Ratio of large and small balls is 5:3. Within the large balls the ratio of the black to white is 1:2 and between small balls the ratio of the black to white is 1:8 What is the ratio of
• Vector perpendicular Find the vector a = (2, y, z) so that a⊥ b and a ⊥ c where b = (-1, 4, 2) and c = (3, -3, -1)
• Rectangular plot The dimensions of a rectangular plot are (x+1)m and (2x-y)m. If the sum of x and y is 3m and the perimeter of the plot is 36m. Find the area of the diagonal of the plot.
• General line equations In all examples, write the GENERAL EQUATION OF a line that is given in some way. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the line is given by the slope form: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) t
• Expressions Find out value of expressions if a = -1, b =2: x=b - 2a - ab y=a3 - b2 - 2ab z=a2 b3 - a3 b2 w=a + b + a3 - b2
• Faces diagonals If the diagonals of a cuboid are x, y, and z (wall diagonals or three faces) respectively than find the volume of a cuboid. Solve for x=1.3, y=1, z=1.2
• Kohlrabies The price of one kohlrabi increased by € 0.40. The number of kohlrabies that a customer can buy for € 4 has thus decreased by 5. Find out the new price of one kohlrabi in euros.
• Find the sum Find the sum of all natural numbers from 1 and 100, which are divisible by 2 or 5
• The inverse The inverse matrix for matrix A has a determinant value of 0.333. What value has a determinant of the matrix A?
• Eq2 2 Solve following equation with quadratic members and rational function: (x2+1)/(x-4) + (x2-1)/(x+3) = 23
• Find the 13 Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3] and C[9, 4].
• Intersect and conjuction Let U={1,2,3,4,5,6} A={1,3,5} B={2,4,6} C={3,6} Find the following. 1. )AUB 2. )A'UB'