Let \(X=\left[\begin{array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 0\end{....

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=Qz5aSLr0LUk



Duration: 9:27
1 views
0


Let \(X=\left[\begin{array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 0\end{array}\right] Y=\alpha I+\beta X+\gamma X^2\) and \(Z =\alpha^2 I-\alpha \beta X\) \(+\left(\beta^2-\alpha \gamma\right) X^2, \alpha, \beta, \gamma \in R\). If \(Y ^{-1}=\left[\begin{array}{ccc}\frac{1}{5} & \frac{-2}{5} & \frac{1}{5} \\ 0 & \frac{1}{5} & \frac{-2}{5} \\ 0 & 0 & \frac{1}{5}\end{array}\right]\), then \((\alpha-\beta+\gamma)^2\) (is equal to--------- 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-07-29If \(1, \log _{10}\left(4^x-2\right)\) and \(\log _{10}\left(4^x+\frac{18}{5}\right)\) are in ar....
2024-07-29Let \(A\) be a \(3 \times 3\) real matrix. If \(\operatorname{det}\left(2 \operatorname{adj}(2 \....
2024-07-29The number of matrices \(A=\left[\begin{array}{ll}a & b \\ c & d\end{array}\right]\), wh....
2024-07-29Let \(x \in R\) and let \(P=\left[\begin{array}{lll}1 & 1 & 1 \\ 0 & 2 & 2 \\ 0 ....
2024-07-29Let \(B=\left[\begin{array}{lll}1 & 3 & \alpha \\ 1 & 2 & 3 \\ \alpha & \alp....
2024-07-29Let \(A\) and \(B\) be two \(3 \times 3 \) real matrices such that \(\left(A^2-B^2\right)\) is i....
2024-07-29Let \(f(x)=\left|\begin{array}{ccc}1+\sin ^2 x & \cos ^2 x & \sin 2 x \\ \sin ^2 x &....
2024-07-29Let \(M=\left\{A=\left(\begin{array}{ll}a & b \\ c & d\end{array}\right): a, b, c, d \in....
2024-07-29Let \(A\) be a \(n \times n\) matrix such that \(|A|=2\). If the determinant of the matrix \(\op....
2024-07-29If \(A=\left(\begin{array}{ll}\frac{1}{\sqrt{5}} & \frac{2}{\sqrt{5}} \\ \frac{-2}{\sqrt{5}}....
2024-07-29Let \(X=\left[\begin{array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 0\end{....
2024-07-29Let \(\beta\) be a real number. Consider the matrix \(A=\left(\begin{array}{ccc}\beta & 0 &a....
2024-07-29Consider a matrix \(A=\left[\begin{array}{ccc}\alpha & \beta & \gamma \\ \alpha^2 & ....
2024-07-29Let \(M=\left(a_{i j}\right), i, j \in\{1,2,3\}\) be the \(3 \times 3\) matrix such that \(a_{i ....
2024-07-29Let f:R→R be a function defined as f(x)=asinπ[x]2+[2-x],a∈R, where [t] is....
2024-07-29If \(\left[\mathrm{t}\right].\) denotes the greater integer \(\leqslant 1\), then the value of \....
2024-07-29\(\lim _{n \rightarrow \infty}\left(\frac{n}{n^2+1^2}+\frac{n}{n^2+2^2}+\frac{n}{n^2+3^2}+\ldots....
2024-07-29Let the domain of the function f(x)=log4log5log318x-x2-77be \((a, b)\). Then the value of t....
2024-07-29If \(I_{m, n}=\int_0^1 x^{m-1}(1-x)^{n-1} d x\), for \(m, n \geq 1\), and \(\int_0^1 \frac{x^{m-....
2024-07-29The value of the integral ∫12t4+1t6+1dt is:....
2024-07-29If the value of the integral \(\int_0^5 \frac{x+[x]}{e^{x-[x]}} d x=\alpha e^{-1}+\beta\), where....