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Question
Evaluate: `|(x + 4, x, x),(x, x + 4, x),(x, x, x + 4)|`
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Solution
We have, `|(x + 4, x, x),(x, x + 4, x),(x, x, x + 4)|`
= `|(3x + 4, x + 4, x + 4),(x, x + 4, x),(x, x, x + 4)|` .....[Applying R1 → R1 + R2 + R3]
= `(3x + 4)|(1, 1, 1),(x, x + 4, x),(x, x, x + 4)|`
= `(3x + 4) |(0, 0, 1),(-4, 4, x),(0, -4, x + 4)|` ...[Applying C1 → C1 – C2, C2 → C2 – C3]
= 16(3x + 4)
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