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6. Determinants
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Q33 of 110 Page 260

Using properties of determinants prove that:


Operating R1→R1-R2, R2→R2-R3





Expanding with C3


= (2(a+2) – 2(a+3))


= (2a+4-2a-6)


= -2


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31

Using properties of determinants prove that:


32

Using properties of determinants prove that:

where α, β, γ are in AP.


34

If x ≠ y ≠ z and prove that xyz (xy + yz + zx) = (x + y + z).

35

Prove that = - (a – b) (b – c) (c – a) (a2 + b2 + c2).

Questions · 110
6. Determinants
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