AP EAMCET · Maths · Matrices
If \(\omega\) is a complex cube root of unity and \(A=\left[\begin{array}{cc}\omega & 0 \\ 0 & \omega\end{array}\right]\), then \(A^{50}\) is equal to
- A \(\omega^2 A\)
- B \(\omega A\)
- C \(A\)
- D 0
Answer & Solution
Correct Answer
(B) \(\omega A\)
Step-by-step Solution
Detailed explanation
\(A=\left[\begin{array}{ll}\omega & 0 \\ 0 & \omega\end{array}\right]\) Then,…
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
- \(\int \frac{x^{e-1}+e^{x-1}}{x^e+e^x} d x=\)AP EAMCET 2017 Medium
- If \(A=\left[\begin{array}{ccc}x & 2 & 1 \\ -2 & y & 0 \\ 2 & 0 & -1\end{array}\right], x\) and \(y\) are non-zero real numbers, trace of \(A=0\) and determinant of \(A=-6\), then the minor of the element 1 of \(A\) isAP EAMCET 2025 Medium
- The equation of the line passing through the points \(\left(\mathrm{ct}_1, \frac{\mathrm{c}}{\mathrm{t}_1}\right)\) and \(\left(\mathrm{ct}_2, \frac{\mathrm{c}}{\mathrm{t}_2}\right)\) isAP EAMCET 2023 Medium
- If \(C\) is the mid-point of the line segment \(\mathbf{A B}\) and \(P\) is any point outside the line \(A B\), thenAP EAMCET 2022 Easy
- If \(x^2+y^2-6 x-8 y+12=0\) and \(x^2+y^2-4 x+6 y+k=0\) cut orthogonally, then \(k=\)AP EAMCET 2020 Medium
- When success is not an impossible event, then the mean of Binomial distribution isAP EAMCET 2022 Easy
More PYQs from AP EAMCET
- If the angle between the lines joining the origin to the points of intersection of \(x+2 y+\lambda=0\) and \(2 x^2-2 x y+3 y^2+2 x-y-1=0\) is \(\frac{\pi}{2}\), then a value of \(\lambda\) isAP EAMCET 2025 Medium
- Suppose that \(f(x, y)\) and \(g(x, y)\) are homogeneous functions of same order. If \(x=V y\) reduces the equation \(\frac{d y}{d x}=\frac{f(x, y)}{g(x, y)}\) to the form \(\frac{d V}{d y}=\frac{1}{y}(F(V))\), then \(F(V)=\)AP EAMCET 2022 Medium
- Complete hydrolysis of Xenon hexafluoride gives HF along with compound X. The hybridisation in X isAP EAMCET 2025 Medium
- The electric field intensity at a point on the axis of an electric dipole in air is \(4 \mathrm{NC}^{-1}\). Then the electric field intensity at a point on the equatorial line which is at a distance equal to twice the distance on the axial line and if the dipole is in a medium of dielectric constant 4 isAP EAMCET 2019 Easy
- If \(A\) and \(B\) are two events such that \(P(B) \neq 0\) and \(P(B) \neq 1\), then \(P(\bar{A} \mid \bar{B})\) isAP EAMCET 2022 Easy
- If \(f(x)=\left\{\begin{array}{cc}\frac{\sqrt{a^2-a x+x^2}-\sqrt{x^2+a x+a^2}}{\sqrt{a+x}-\sqrt{a-x}}, & x \neq 0 \\ K, & x=0\end{array}\right.\), is continuous at \(x=0\), then \(K=\)AP EAMCET 2024 Medium