Mathematics

Mathematics

Problem

Let A=[aij]n×nA = [a_{ij}]_{n \times n} be a square matrix and let cijc_{ij} be cofactor of aija_{ij} in AA. If C=[cij]C = [c_{ij}], then (a) ∣C∣=∣A∣|C| = |A| (b) ∣C∣=∣A∣n−1|C| = |A|^{n-1} (c) ∣C∣=∣A∣n−2|C| = |A|^{n-2} (d) None of these (a) ∣C∣=∣A∣|C| = |A| (b) ∣C∣=∣A∣n−1|C| = |A|^{n-1} (c) ∣C∣=∣A∣n−2|C| = |A|^{n-2} (d) None of these

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