Maths · Evaluation of determinants
If each row of a determinant of third order of value is multipled by then the va
If each row of a determinant of third order of value \( \Delta \) is multipled by \( 3, \) then the value of new determinant is
- A. \( \Delta \)
- B. \( 27 \Delta \)
- C. \( 21 \Delta \)
- D. \( 54 \Delta \)
Step-by-step solution
Multiplying each row of a 3rd order determinant by 3 multiplies the determinant by 3³ = 27, so new value = 27Δ.
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