TS EAMCET · Maths · Determinants
Let and be two non singular matrices, such that det and det Then det
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Given, det.ATBA=27 ⇒ATBA=27 ⇒A2B=27 .....i Also, detAB-1=8 ⇒AB=8…
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
- Let \([x]\) denote the greatest integer not more than \(x\). If \(A\) and \(B\) are the domains of the functions \(f(x)=\frac{x-[x]}{\sqrt{|x|-x}}\) and \(g(x)=\frac{x-[x]}{\sqrt{|x|+x}}\) respectively, thenTS EAMCET 2020 Easy
- \(\frac{\cos 15^{\circ} \cos ^2 22 \frac{1}{2}^{\circ}-\sin 75^{\circ} \sin ^2 52 \frac{1}{2}^{\circ}}{\cos ^2 15^{\circ}-\cos ^2 75^{\circ}}=\)TS EAMCET 2025 Medium
- Let \(A=(1,2,0), B=(2,0,-1), C=(0,-2,3)\) and \(D=(-1,2,-3)\) be four points in the space. Let \(\mathrm{G}_1\) be the centroid of triangle \(A B C\) and \(G_2\) be the centroid of tetrahedron ABCD. If \(P\) divides \(G_1 G_2\) in the ratio \(4: 3\) internally then \(\mathrm{P}=\)TS EAMCET 2022 Easy
- The length of the segment of the straight line passing through \((3,3)\) and \((7,6)\) cut off by the coordinate axes isTS EAMCET 2016 Easy
- If \(\mathrm{I}_1=\int \frac{e^x}{e^{4 x}+e^{2 x}+1} d x, \mathrm{I}_2=\int \frac{e^{-x}}{e^{-4 x}+e^{-2 x}+1} d x\), then \(\mathrm{I}_2-\mathrm{I}_1=\)TS EAMCET 2025 Medium
- The differential equation for which is the general solution, isTS EAMCET 2020 Medium
More PYQs from TS EAMCET
- If is a point on the line parallel to the vector and passing through the point A whose position vector is and , then the position vector of can beTS EAMCET 2022 Easy
- If \(n\) is a positive integer, then \((1+i)^n \div(1-i)^n=-i\), then \(n\) will be of the formTS EAMCET 2021 Easy
- If \(f(x)=\left|\begin{array}{ccc}2 \cos ^2 x & \sin 2 x & \sin x \\ \sin 2 x & 2 \sin ^2 x & -\cos x \\ \sin x & -\cos x & 0\end{array}\right|\) then
\[
\int_0^{\frac{\pi}{4}}\left(2|f(x)|+5 f^{\prime}(x)\right) d x=
\]TS EAMCET 2022 Medium - Bag contains red and black balls. Bag II contains red and black balls. If one ball is drawn at random from one of the bags, and it is found to be red, then the probability that it was drawn from Bag , isTS EAMCET 2019 Easy
- The concentration of an organic compound in chloroform is \(6.15 \mathrm{~g}\) per \(100 \mathrm{~mL}\) of solution. A portion of this solution in a \(5 \mathrm{~cm}\) polarimeter tube causes an observed rotation of \(-1.2^{\circ}\). What is the specific rotation of the compound?TS EAMCET 2009 Medium
- Let be the unique solution of the system of simultaneous linear equations . If thenTS EAMCET 2022 Medium