Matrix Cofactors calculator

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Home > Matrix & Vector calculators > Cofactor of a matrix calculator

Definition and examples

Matrix operations

Matrix Operation

Matrix Cofactors calculator

Matrix A :

Matrix B :

Matrix C :

Find :

Mode =

Decimal Place =

To solve simultaneous equations, enter B/A or AX=B or Use this link Inverse Matrix method (for answer in better way)

SolutionHelp

Matrix Cofactors calculator

1.

$[[2,3,1],[0,5,6],[1,1,2]]$

2.

$[[2,1,-1],[1,0,-1],[1,1,2]]$

3.

$[[3,1,1],[-1,2,1],[1,1,1]]$

4.

$[[5,6,1],[0,2,3],[1,1,2]]$

Example

1. Find $"Cofactor"(A)$ ...
$A=[[3,1,1],[-1,2,1],[1,1,1]]$

Solution:

$COFACTOR(A)$

=

$COFACTOR$

$3$	$1$	$1$
$-1$	$2$	$1$
$1$	$1$	$1$

=

+

	$2$	$1$
	$1$	$1$

-

	$-1$	$1$
	$1$	$1$

+

	$-1$	$2$
	$1$	$1$

-

	$1$	$1$
	$1$	$1$

+

	$3$	$1$
	$1$	$1$

-

	$3$	$1$
	$1$	$1$

+

	$1$	$1$
	$2$	$1$

-

	$3$	$1$
	$-1$	$1$

+

	$3$	$1$
	$-1$	$2$

=

$+(2 × 1 - 1 × 1)$	$-(-1 × 1 - 1 × 1)$	$+(-1 × 1 - 2 × 1)$
$-(1 × 1 - 1 × 1)$	$+(3 × 1 - 1 × 1)$	$-(3 × 1 - 1 × 1)$
$+(1 × 1 - 1 × 2)$	$-(3 × 1 - 1 × (-1))$	$+(3 × 2 - 1 × (-1))$

=

$+(2 -1)$	$-(-1 -1)$	$+(-1 -2)$
$-(1 -1)$	$+(3 -1)$	$-(3 -1)$
$+(1 -2)$	$-(3 +1)$	$+(6 +1)$

=

$1$	$2$	$-3$
$0$	$2$	$-2$
$-1$	$-4$	$7$

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