AP EAMCET · Maths · Matrices
If \(A=\left[\begin{array}{ccc}2 & 1 & 3 \\ -1 & 2 & 0 \\ 4 & 1 & 3\end{array}\right], B=\left[\begin{array}{lll}3 & 2 & 1 \\ 1 & 2 & 3 \\ 3 & 1 & 0\end{array}\right]\), then \(\operatorname{det}\left(2 B^{-1} A^{-1}\right)\) is equal to
- A \(\frac{1}{6}\)
- B \(\frac{-1}{24}\)
- C \(\frac{1}{3}\)
- D \(\frac{-1}{6}\)
Answer & Solution
Correct Answer
(D) \(\frac{-1}{6}\)
Step-by-step Solution
Detailed explanation
\text { (d) } \begin{aligned} A & =\left[\begin{array}{ccc} 2 & 1 & 3 \\ -1 & 2 & 0 \\ 4 & 1 & 3 \end{array}\right], B=\left[\begin{array}{lll} 3 & 2 & 1 \\ 1 & 2 & 3 \\ 3 & 1 & 0 \end{array}\right] \\ A^{-1} & =\frac{1}{|A|} \operatorname{adj} A, B^{-1}=\frac{1}{|B|}…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(1,2,3\) and 4 are the roots of the equation \(x^4+a x^3+b x^2+c x+d=0\), then \(a+2 b+c\) is equal toAP EAMCET 2007 Medium
- AP EAMCET 2020 Medium
- If the \(2^{\text {nd }}, 3^{\text {rd }}\) and \(4^{\text {th }}\) terms in the expansion of \((x+a)^{\mathrm{n}}\) are \(96,216,216\) respectively and \(n\) is a positive integer then \(a+x=\)AP EAMCET 2024 Easy
- If \(p\) and \(q\) are the \(x\) and \(y\)-intercepts respectively of the line passing through the points \((a \cos \alpha, b \sin \alpha)\) and \((a \cos \beta, b \sin \beta)\), then \(\frac{a^2}{p^2}+\frac{b^2}{q^2}=\)AP EAMCET 2023 Medium
- The product of all the real roots of the equation \(|x|^2-5|x|+6=0\) isAP EAMCET 2025 Medium
- If the circles \(x^2+y^2+5 k x+2 y+k=0\) and \(2 x^2+2 y^2+2 k x+3 y-1=0, k \in R\) intersect at points \(P\) and \(Q\), then the line \(4 x+5 y-k=0\) passes through \(P\) and \(Q\) forAP EAMCET 2025 Medium
More PYQs from AP EAMCET
- In a binomial distribution, if \(\mathrm{n}=4\) and \(\mathrm{P}(\mathrm{X}=0)=\frac{16}{81}\), then \(\mathrm{P}(\mathrm{X}=4)=\)AP EAMCET 2025 Medium
- If the pair of straight lines \(x y-x-y+1=0\) and the line \(a x+2 y-3 a=0\) are concurrent, then \(a\) is equal toAP EAMCET 2002 Medium
- All the values of \((8 i)^{\frac{1}{3}}\) areAP EAMCET 2024 Medium
- In an electrophoresis set up, colloidal solution of glycine having \(\mathrm{pH}\) of 5.97 is kept at constant \(\mathrm{T}\) and \(\mathrm{P}\). What will happen if few drops of base are added to it.AP EAMCET 2020 Medium
- The logic gate equivalent to the combination of logic gates shown in the figure is
AP EAMCET 2025 Medium - Match List I with List II
AP EAMCET 2024 Easy