TS EAMCET · Maths · Matrices
If \(\mathrm{A}=\left[\begin{array}{lll}x & y & y \\ y & x & y \\ y & y & x\end{array}\right]\) is a matrix such that \(5 A^{-1}=\left[\begin{array}{ccc}-3 & 2 & 2 \\ 2 & -3 & 2 \\ 2 & 2 & -3\end{array}\right]\) then \(A^2-4 A=\)
- A \(5 \mathrm{~A}^{-1}\)
- B 5 I
- C 0
- D I
Answer & Solution
Correct Answer
(B) 5 I
Step-by-step Solution
Detailed explanation
Given that \(5 A^{-1}=\left[\begin{array}{ccc}-3 & 2 & 2 \\ 2 & -3 & 2 \\ 2 & 2 & -3\end{array}\right]\) Post multiply by \(A\) on both sides…
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 \(\mathbf{a}=\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{c}=\hat{\mathbf{j}}-\hat{\mathbf{k}}, \mathbf{a} \times \mathbf{b}=\mathbf{c}\) and \(\mathbf{a} \cdot \mathbf{b}=3\), then \(\mathbf{b}\) is equal toTS EAMCET 2021 Easy
- If the line \(2 x-3 y+4=0\) cuts the ellipse \(x=3 \cos \theta\), \(y=5 \sin \theta\) in \(\mathrm{A}\) and \(\mathrm{B}\) and \((\alpha, \beta)\) is the midpoint of \(\overline{\mathrm{AB}}\), then \(3 \beta-2 \alpha=\)TS EAMCET 2022 Hard
- In a triangle \(\mathrm{ABC}\), if \(\frac{a}{\tan \mathrm{A}}=\frac{b}{\tan \mathrm{B}}=\frac{c}{\tan \mathrm{C}}\) then \(\cos ^2 \mathrm{~A}+\cos ^2 \mathrm{~B}+\cos ^2 \mathrm{C}=\)TS EAMCET 2022 Medium
- If \(y=3 x\) is a tangent to a circle with centre \((1,1)\), then the other tangent drawn through \((0,0)\) to the circle isTS EAMCET 2005 Easy
- If \(f(x)=\frac{1}{x^2} \int_3^x\left(2 t-3 f^{\prime}(t)\right) d t\), then \(f^{\prime}(3)\) is equal toTS EAMCET 2004 Hard
- A student is asked to answer 10 out of 13 questions in an examination such that he must answer atleast four questions from the first five questions. Then the total number of possible choices available to him isTS EAMCET 2023 Easy
More PYQs from TS EAMCET
- A sound wave passing through an ideal gas at NTP produces a pressure change of 0.001 dyne \(/ \mathrm{cm}^2\) during adiabatic compression. The corresponding change in temperature \((\gamma=1.5\) for the gas and atmospheric pressure is \(1.013 \times 10^6\) dyne \(/ \mathrm{cm}^2\) ) isTS EAMCET 2012 Hard
- A random variable \(X\) has the probability distribution given below.

Its variance isTS EAMCET 2014 Easy - If and are respectively the coefficient of in and the coefficient of in thenTS EAMCET 2022 Easy
- When the origin is shifted to \((1,-2)\) by translation of coordinate axes, the transformed coordinates of \((3,-2)\) are \((\alpha, \beta)\). If the axes are rotated about origin through an angle of \(45^{\circ}\) after the translation, then the transformed coordinates of \((\alpha, \beta)\) areTS EAMCET 2019 Easy
- If \(\cos \left(\frac{\pi}{4}-x\right) \cos 2 x+\sin x \sin 2 x \sec x\) \(=\cos x \sin 2 x \sec x+\cos \left(\frac{\pi}{4}+x\right) \cos 2 x\), then a possible value of sec \(x\) isTS EAMCET 2020 Medium
- If the roots of each of the equations \(2 x^2+x-1=0,3 x^2-10 x+3=0\) and \(6 x^2+11 x-2=0\) corresponds to probabilities of three events of a random experiment, then those events areTS EAMCET 2020 Easy