Let \( A=\left[\begin{array}{cc}1 & -1 \\ 2 & \alpha\end{array}\right] \) and \( B=\left[\begin{...

Channel:
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=XDmB3j22dVA



Category:
Let's Play
Duration: 8:54
0 views
0


Let \( A=\left[\begin{array}{cc}1 & -1 \\ 2 & \alpha\end{array}\right] \) and \( B=\left[\begin{array}{cc}\beta & 1 \\ 1 & 0\end{array}\right], \alpha, \beta \in \mathrm{R} \). Let \( \alpha_{1} \) be the value of \( \alpha \) which satisfies \( (A+B)^{2}=A^{2}+\left[\begin{array}{ll}2 & 2 \\ 2 & 2\end{array}\right] \) and \( \alpha_{2} \) be the value of \( \alpha \) which satisfies \( (A+B)^{2}=B^{2} \). Then \( \left|\alpha_{1}-\alpha_{2}\right| \) is equal to
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-06-08Suppose, \( n, m \) are natural number and \[ f(x)=\left|\begin{array}{ccc} 1 & (1+x)^{m} & (1+m...
2023-06-08Let \( \Delta=\left|\begin{array}{ccc}1 & x & x^{2} \\ x^{2} & 1 & x \\ x & x^{2} & 1\end{array}...
2023-06-08If \( D \) is a determinant of order three and \( \Delta \) is a determinant formed by the cofac...
2023-06-08If \( \alpha, \beta \) and \( \gamma \) are the roots of the equation \( x^{3}+p x+q=0 \), then ...
2023-06-08If \( \left|\begin{array}{ll}n_{1} & n_{2} \\ n_{2} & n_{1}\end{array}\right|=2022\left(n_{1}, n...
2023-06-08If \( [x] \) stands for the greatest integer less than or equal to \( x \), then the value of \(...
2023-06-08Let \( \Delta=\left|\begin{array}{ccc}a & a+d & a+2 d \\ a+d & a+2 d & a \\ a+2 d & a & a+d\end{...
2023-06-08Let \( A \) be a \( 2 \times 2 \) real matrix with entries from \( \{0,1\} \) and \( |A| \neq 0 ...
2023-06-08\[ \left|\begin{array}{ccc} 1 & \omega^{3} & \omega^{5} \\ \omega^{3} & 1 & \omega^{4} \\ \omega...
2023-06-08If \( \left|\begin{array}{ccc}0 & a b^{2} & a c^{2} \\ a^{2} b & 0 & b c^{2} \\ a^{2} c & c b^{2...
2023-06-08Let \( A=\left[\begin{array}{cc}1 & -1 \\ 2 & \alpha\end{array}\right] \) and \( B=\left[\begin{...
2023-06-08If \( f(x+a)^{n}=\sum_{k=0}\left(C_{r}^{n}\right) x^{k} a^{n-k} \) Let \( a_{k}=k\left({ }^{10} ...
2023-06-08Let the matrix \( A=\left[\begin{array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0\end{array}\right...
2023-06-08If the matrix \( M_{r} \) is given by \( M_{r}=\left[\begin{array}{cc}r & r-1 \\ r-1 & r\end{arr...
2023-06-08A determinant of second order is made with the elements 0 and 1 . The number of determinants wit...
2023-06-08Let \( \mathrm{S}=\{\sqrt{n}: 1 \leq n \leq 50 \) and \( n \) is odd \( \} \) Let \( \mathrm{a} ...
2023-06-08If \( \mathrm{A} \) is an invertible matrix of order 3 and \( \mathrm{B} \) is another matrix of...
2023-06-08Let \( A, B, C \) be three square matrices such that \( A B C+A B+ \) \( B C+A C+A+B+C=O \). If ...
2023-06-08If \( A=\left[\begin{array}{cc}-1 & 1 \\ 0 & -2\end{array}\right] \), then \( \left|A^{2}+3 A+2 ...
2023-06-08Given \( A=\left[\begin{array}{lll}1 & 1 & 1 \\ 2 & 4 & 1 \\ 2 & 3 & 1\end{array}\right], B=\lef...
2023-06-08Let \( I_{n} \) is a \( (n \times n) \) identity matrix and \( O_{n} \) is a \( (n \times n) \) ...