Home » Find the value of (begin{vmatrix}0 & 3 & 2 \1 & 7 & 8 \0…

Find the value of (begin{vmatrix}0 & 3 & 2 \1 & 7 & 8 \0…

Find the value of (begin{vmatrix}0 & 3 & 2 \1 & 7 & 8 \0 & 5 & 4end{vmatrix}).

  • A.
    12
  • B.
    10
  • C.
    -1
  • D.
    -2
Correct Answer: Option D
Explanation

(0 begin{vmatrix}7 & 8 \5 & 4end{vmatrix} -3 begin{vmatrix}1 & 8 \0 & 4end{vmatrix} +2 begin{vmatrix}1 & 7 \0 & 5end{vmatrix})
= 0(28 – 40) – 3(4 – 0) + 2(5 – 0)
= 0(-12) – 3(4) + 2(5)
= 0 – 12 + 10
= -2

There is an explanation video available below.

Explanation Video

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