The metatable for a 3x3 matrix class, use the new function to actually create an object.

We also inherit all the functions from tardis.array

m3 = m3:adjugate()
m3 = m3:adjugate(r)

Adjugate this m3.

If r is provided then the result is written into r and returned otherwise m3 is modified and returned.

m3 = m3:cofactor()
m3 = m3:cofactor(r)

Cofactor this m3.

If r is provided then the result is written into r and returned otherwise m3 is modified and returned.

value = m3:determinant()

Return the determinant value of this m3.

m3 = m3:identity()

Set this m3 to the identity matrix.

m3 = m3:inverse()
m3 = m3:inverse(r)

Inverse this m3.

If r is provided then the result is written into r and returned otherwise m3 is modified and returned.

m4 = m3:m4()

Expand an m3 matrix into an m4 matrix.

value = m3:minor_xy()

Return the minor_xy value of this m3.

m3 = tardis.m3.new()

Create a new m3 and optionally set it to the given values, m3 methods usually return the input m3 for easy function chaining.

m3 = m3:scale(s)
m3 = m3:scale(s,r)

Scale this m3 by s.

If r is provided then the result is written into r and returned otherwise m3 is modified and returned.

m3 = m3:transpose()
m3 = m3:transpose(r)

Transpose this m3.

If r is provided then the result is written into r and returned otherwise m3 is modified and returned.

v3 = m3:v3(n)

Extract and return a "useful" v3 from an m3 matrix. The first vector is the x axis, then y axis , then z axis.