Matrix Multiplication:
The RHS, when multiplied by the LHS, will "cancel" it.
Not all matrices have an inverse. In those cases you will see
"NaN" (not a number).
Inverse
RHS times LHS will give a symmetric matrix.
The rows to the left always
match columns to the right and you don't see
"not consistent".
Transpose
The RHS will go to ones along the diagonal with
zeros off-diagonal.
The product below will be a repeat of the LHS.
Identity
Moves the RHS to the LHS. You can then
multiply it by other things.
E.g. you can add a column vector to the LHS,
swap and the inverse gives a column answer.
Swap
Brings up a new page, which walks you through making
an Inverse Matrix to solve a set of equations.
A*X=B
Click on answer cells to see their formulas.
Matrix Multiplication Is Not Commutative.
When the above arrays are interchanged and
multiplied the result is usually a different matrix:
Formula:
=> Cheat Sheet