Question

Findthe value of determinant |2i 3| |4 -i|

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{\left|\begin{array}{cc}2i&3\\4&-i\end{array}\right|}$

$\underline{\textbf{To find:}}$

$\textsf{The value of the determinant}$

$\mathsf{\left|\begin{array}{cc}2i&3\\4&-i\end{array}\right|}$

$\underline{\textbf{Solution:}}$

$\mathsf{Consider,}$

$\mathsf{\left|\begin{array}{cc}2i&3\\4&-i\end{array}\right|}$

$\mathsf{=(2i{\times}(-i))-(3{\times}4)}$

$\mathsf{=-2i^2-12}$

$\mathsf{=-2(-1)-12}$

$\mathsf{=2-12}$

$\mathsf{=-10}$

$\implies\boxed{\mathsf{\left|\begin{array}{cc}2i&3\\4&-i\end{array}\right|=-10}}$

$\underline{\textbf{Find more:}}$

1.Prove that:det(x+y x x, 5x+4y 4x 2x, 10x+8y 8x 3x ) =x^3

https://brainly.in/question/4612859  

2.The sum of the real roots of the equation | x 6 1 |

| 2 3x (x - 3)| = 0 | 3 2x (x = 2)|

is equal to (A) -4 (B) 0

(C) 6 (D) 1

https://brainly.in/question/160747209