TS EAMCET · Maths · Matrices
\[
\text { If } A=\left[\left.\begin{array}{lll}
1 & 2 & 3 \\
4 & 5 & 6 \\
7 & 8 & 9
\end{array} \right\rvert\, \text {, then }\left(A A^{\prime}\right)^{\prime}=\right.
\]
- A \[
\left[\begin{array}{ccc}
14 & 32 & 50 \\
32 & 122 & 194 \\
50 & 194 & 256
\end{array}\right]
\] - B \[
\text { }\left[\begin{array}{ccc}
14 & 50 & 32 \\
32 & 122 & 194 \\
50 & 194 & 122
\end{array}\right]
\] - C \[
\left[\begin{array}{ccc}
14 & 32 & 50 \\
32 & 194 & 122 \\
32 & 122 & 77
\end{array}\right]
\] - D \[
\left[\begin{array}{ccc}
14 & 32 & 50 \\
32 & 77 & 122 \\
50 & 122 & 194
\end{array}\right]
\]
Answer & Solution
Correct Answer
(D) \[
\left[\begin{array}{ccc}
14 & 32 & 50 \\
32 & 77 & 122 \\
50 & 122 & 194
\end{array}\right]
\]
Step-by-step Solution
Detailed explanation
We have, \[ A=\left[\begin{array}{lll} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}\right] \Rightarrow A^{\prime}=\left[\begin{array}{lll} 1 & 4 & 7 \\ 2 & 5 & 8 \\ 3 & 6 & 9 \end{array}\right] \] Now,…
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
- The set of all values of \(x\) for which \(f(x)=||x|-1|\) is differentiable isTS EAMCET 2025 Medium
- \(\int_0^{16} \frac{\sqrt{x}}{1+\sqrt{x}} d x=\)TS EAMCET 2024 Hard
- \(\operatorname{Lim}_{n \rightarrow \infty} \frac{\pi}{2 n}\left[\sin \frac{\pi}{2 n}+\sin \frac{2 \pi}{2 n}+\ldots+\sin \frac{\pi}{2}\right]=\)TS EAMCET 2020 Medium
- The line \(3 x-y+k=0\) touches the circle \(x^2+y^2+4 x-6 y+3=0\). If \(k_1, k_2\left(k_1 < k_2\right)\) are the two values of \(k\), then the equation of the chord of contact of the point \(\left(k_1, k_2\right)\) with respect to the given circle isTS EAMCET 2019 Medium
- \(\lim _{n \rightarrow \infty} \frac{1}{n^3} \sum_{k=1}^n\left(k^2 x\right)=\)TS EAMCET 2023 Hard
- The equation of tangent to the curve \(\left(\frac{x}{a}\right)^n+\left(\frac{y}{b}\right)^n=2\) at the point \((a, b)\) isTS EAMCET 2017 Medium
More PYQs from TS EAMCET
- The air columns in two tubes closed at one end vibrating in their fundamental modes produce 2 beats per second. The number of beats produced per second when the same tubes are vibrated in their fundamental mode with their both ends open areTS EAMCET 2025 Medium
- Which of the following pairs shows diagonal relationship?TS EAMCET 2020 Easy
- A metal disc of radius rotates with a constant angular speed of about its axis. The potential difference between the centre and the rim of the disc under a uniform magnetic field directed perpendicular to the disc, isTS EAMCET 2019 Medium
- A point object \(O\) is placed on the axis of a cylindrical piece of glass of refractive index 1.6 as shown in the figure. One surface of the glass piece is convex with radius of curvature \(3 \mathrm{~mm}\). The point appeared to be at \(5 \mathrm{~mm}\) on the axis when viewed along the axis and from right side of convex surface. The distance of the point object from the convex surface is :
TS EAMCET 2019 Medium - The image of the point \((2,4)\) with respect to the straight line \(2 x+3 y-6=0\) isTS EAMCET 2018 Medium
- The molecular interactions responsible for hydrogen bonding in \(\mathrm{HF}\)TS EAMCET 2014 Easy