Why is uniqueness important for decomposition, rather than existence?
air-wreck
In many cases, the matrix of a composite transformation was obtained by multiplying the matrices of basic transformations in the first place. Couldn't we avoid the need for decomposing it again by remembering what the basic matrices were originally?
air54321
How do we analyze a linear transformation that cannot be decomposed? Is there a way to approximate it or something?
Why is uniqueness important for decomposition, rather than existence?
In many cases, the matrix of a composite transformation was obtained by multiplying the matrices of basic transformations in the first place. Couldn't we avoid the need for decomposing it again by remembering what the basic matrices were originally?
How do we analyze a linear transformation that cannot be decomposed? Is there a way to approximate it or something?