a) Prove the rule (1.60) for 2 × 2 matrices; that is, prove:
[Hint: Use Rule V of Section 1.4 for adding determinants to write the right−hand side as a sum of four determinants. Then factor b11, … from these and show that two terms are 0 and the other two have sum
b) Prove the rule (1.60) for 3 × 3 matrices.
c) Prove the rule (1.60) for n ×n matrices.
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