ROOT
BISECTION
FALSE-POSITION
FIXED-POINT
NEWTON-RAPHSON
SECANT
LINEAR EQUATION
CRAMER'S RULE
GAUSS ELIMINATION
GAUSS-JORDAN ELIMINATION
MATRIX INVERSION
LU DECOMPOSITION
CHOLESKY DECOMPOSITION
JACOBI ITERATION
GAUSS-SEIDEL ITERATION
INTERPOLATION
NEWTON DIVIDED-DIFFERENCES
LAGRANGE INTERPOLATION
SPLINE INTERPOLATION
EXTRAPOLATION
SIMPLE REGRESSION
MULTIPLE REGRESSION
/matrix_inversion
Definition
A
X
=
B
A
−
1
A
X
=
A
−
1
B
I
X
=
A
−
1
B
X
=
A
−
1
B
\begin{aligned}AX &= B\\A^{-1}AX &= A^{-1}B\\ IX &= A^{-1}B\\ X &= A^{-1}B\end{aligned}
A
X
A
−
1
A
X
I
X
X
=
B
=
A
−
1
B
=
A
−
1
B
=
A
−
1
B
x
n
=
4
x_n = 4
x
n
=
4
Matrix
Matrix size (NxN)
Reset
[
A
]
[A]
[
A
]
a
11
a_{11}
a
11
a
12
a_{12}
a
12
a
13
a_{13}
a
13
a
14
a_{14}
a
14
a
21
a_{21}
a
21
a
22
a_{22}
a
22
a
23
a_{23}
a
23
a
24
a_{24}
a
24
a
31
a_{31}
a
31
a
32
a_{32}
a
32
a
33
a_{33}
a
33
a
34
a_{34}
a
34
a
41
a_{41}
a
41
a
42
a_{42}
a
42
a
43
a_{43}
a
43
a
44
a_{44}
a
44
{
x
}
\{x\}
{
x
}
x
1
x_1
x
1
x
2
x_2
x
2
x
3
x_3
x
3
x
4
x_4
x
4
[
B
]
[B]
[
B
]
=
=
=
[
B
]
[B]
[
B
]
b
1
b_1
b
1
b
2
b_2
b
2
b
3
b_3
b
3
b
4
b_4
b
4
Calculate