Day 386: NDA Maths

1. A.
   $-2$ only
2. B.
   $\dfrac{1}{2}$ only
3. C.
   Both $-2$ and $\dfrac{1}{2}$
4. D.
   Neither $\dfrac{1}{2}$ nor $-2$

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1. A.
   $\begin{pmatrix}a^{-1} & 0 & 0 \\ 0 & b^{-1} & 0 \\ 0 & 0 & c^{-1}\end{pmatrix}$
2. B.
   $\dfrac{1}{abc}\begin{pmatrix}a^{-1} & 0 & 0 \\ 0 & b^{-1} & 0 \\ 0 & 0 & c^{-1}\end{pmatrix}$
3. C.
   $\dfrac{1}{abc}\begin{pmatrix}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{pmatrix}$
4. D.
   $\dfrac{1}{abc}\begin{pmatrix}a & 0 & 0 \\ 0 & b & 0 \\ 0 & 0 & c\end{pmatrix}$

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1. A.
   $\dfrac{1}{12}$
2. B.
   $\dfrac{3}{4}$
3. C.
   $\dfrac{1}{15}$
4. D.
   $\dfrac{1}{9}$

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1. A.
   $-1$
2. B.
   $0$
3. C.
   $1$
4. D.
   $2$

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1. A.
   0
2. B.
   1
3. C.
   $pa+qb+rc$
4. D.
   $pa+qb+rc+a+b+c$

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