Applying transformations in succession Suppose that A and B are 2
... Suppose that A and B are 2 × 2 matrices representing the maps TA and TB . Then, TB (TA(x)) = B (TA(x)) = B (A x) = (B A) x, so the combined transformation is represented by the matrix B A. That is, TB ◦ TA = TBA. Note that the above is “first TA, then TB ”, and not the other way around! ...
... Suppose that A and B are 2 × 2 matrices representing the maps TA and TB . Then, TB (TA(x)) = B (TA(x)) = B (A x) = (B A) x, so the combined transformation is represented by the matrix B A. That is, TB ◦ TA = TBA. Note that the above is “first TA, then TB ”, and not the other way around! ...
Yet Another Proof of Sylvester`s Identity
... Then |(adj Ã)p | differs from the algebraic complement of ãprs by the factor |A|p−1 . ...
... Then |(adj Ã)p | differs from the algebraic complement of ãprs by the factor |A|p−1 . ...
