By using properties of determinants- show that-i - x-4 2 x 2 x- 2 x x-4 2 x- 2 x 2 x x-4 -5 x-44-x2ii - y-k y y- y y-k y- y y y-k -k23 y-k

(i) Applying R1 → R1 + R2 + R3, we have: Applying C2 → C2 − C1, C3 → C3 − C1, we have: Expanding along C3, we have: Hence, the given result is proved. ( ...

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Standard XII

Mathematics

Property 4

By using prop...

Question

By using properties of determinants, show that:

(i)

(ii)

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Solution

(i)

Applying R₁ → R₁ + R₂+ R₃, we have:

Applying C₂ → C₂ − C₁, C₃ → C₃ − C₁, we have:

Expanding along C₃, we have:

Hence, the given result is proved.

(ii)

Applying R₁ → R₁ + R₂+ R₃, we have:

Applying C₂ → C₂ − C₁and C₃ → C₃ − C₁, we have:

Expanding along C₃, we have:

Hence, the given result is proved.

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By using properties of determinants, show that:

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By using properties of determinants, show that: (i) (ii)

By using properties of determinants, show that:

(i)

(ii)