132 CHAPTER 2 Determinants 24. Verify the formulas in parts (a) and (b) and then make a conjecture about a general result of which these results are special cases. a.
det[[0,0,a_(13)],[0,a_(22),a_(23)],[a_(31),a_(32),a_(33)]]=-a_(13)a_(22)a_(31)
b.
det[[0,0,0,a_(14)],[0,0,a_(23),a_(24)],[0,a_(32),a_(33),a_(34)],[a_(41),a_(42),a_(43),a_(44)]]=a_(14)a_(23)a_(32)a_(41)

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132 CHAPTER 2 Determinants 24. Verify the formulas in parts (a) and (b) and then make a conjecture about a general result of which these results are special cases. a.

det[[0,0,a_(13)],[0,a_(22),a_(23)],[a_(31),a_(32),a_(33)]]=-a_(13)a_(22)a_(31)

b.

det[[0,0,0,a_(14)],[0,0,a_(23),a_(24)],[0,a_(32),a_(33),a_(34)],[a_(41),a_(42),a_(43),a_(44)]]=a_(14)a_(23)a_(32)a_(41)

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