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Matrices and Determinants - Formula Sheet and Summary Important
Last updated at March 16, 2023 by Teachoo
Misc 10 Evaluate 1xy1x+yy1xx+y 1xy1x+yy1xx+y Applying R1→ R1 – R2 = 𝟏−𝟏x−x−yy1x+yy1𝑥x+y = 𝟎−yy1x+yy1𝑥x+y Applying R2→ R2 – R3 = 0−y0𝟏−𝟏x+y−xy−x−y1xx+y = 0−y0𝟎y−x1𝑥x+y Expanding determinant along C1 = 0 𝑦−𝑥𝑥𝑥+𝑦 – 0 −𝑦𝑦𝑥𝑥+𝑦 + 1 −𝑦0𝑦−𝑥 = 0 – 0 + 1 −𝑦0𝑦−𝑥 = (0 – 0 + 1(xy)) = xy