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Need RD Sharma solution for Maths Class 12 Chapter 5 Determinants Exercise Very short question Question 8 for maths textbook solution.

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Answer: 0

Hint: Here we use basic concept of determinant of  matrix

Given: A=\left[\begin{array}{ll} 0 & i \\ i & 1 \end{array}\right] B=\left[\begin{array}{ll} 0 & 1 \\ 1 & 0 \end{array}\right] \text { Find }|A|+|B|

Solution :

Let's calculate determinant of A

\begin{aligned} &\text { So, }|A|=\left|\begin{array}{ll} 0 & i \\ i & 1 \end{array}\right|=0 \times 1-i \times i \\ &=(-i)^{2}=-(1)=1 \end{aligned}

Let's calculate determinant of B

\begin{aligned} &\text { So, }|B|=\left|\begin{array}{ll} 0 & 1 \\ 1 & 0 \end{array}\right|=0-1 \times 1 \\ &=-1 \end{aligned}

So, |A|+|B|=1+(-1)

     =0

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