Understanding Determinants

A matrix with the same number of rows and columns

A matrix with more rows than columns

A matrix with only one row

A matrix with more columns than rows

sum(A)

prod(A)

det(A)

abs(A)

By subtracting the product of one diagonal from the other

By adding all elements together

By adding the products of the diagonals

By multiplying all elements together

-19

19

-11

11

-2

-4

2

4

Multiply all elements of the matrix

Copy the first two columns to the right of the matrix

Add all elements of the matrix

Subtract the first row from the last row

Multiply the diagonals and subtract the results

Add the copied columns to the original matrix

Transpose the matrix

Divide the matrix by the number of columns

50

-50

-10

10

To multiply the diagonals

To add clarity to the subtraction process

To divide the matrix into sections

To transpose the matrix

Matrix inversion

Row reduction

Cofactor expansion

Gaussian elimination