Let \( E=\left[\begin{array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & ...
Let \( E=\left[\begin{array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 0\end{array}\right], F=\left[\begin{array}{lll}0 & 0 & 0 \\ 1 & 0 & 0 \\ 0 & 1 & 0\end{array}\right] \) and \( x \in \mathbf{R} \), then \( \left(E+x F^{2}\right)^{3} \) equals
(a) \( x I \)
(b) \( O \)
(c) \( x E \)
(d) \( x F \)
📲 PW App Link - https://bit.ly/YTAI_PWAP
🌐 PW Website - https://www.pw.live/
Other Videos By PW Solutions
2023-02-25 | The number of matrices \( A=\left(a_{\mathrm{ij}}\right)_{n \times ... |
2023-02-25 | A square matrix \( A \) is said to be an idempotent matrix
if \( A^... |
2023-02-25 | A square matrix \( A \) is said to be an idempotent matrix if \( A^... |
2023-02-25 | The number of non-negative integral solutions of \( 3 x \) \( +y+z ... |
2023-02-25 | With \( A, B, C \) as in Question No. 18, define \( o \) as follows... |
2023-02-25 | A square matrix \( A \) is said to be an idempotent matrix
if \( A^... |
2023-02-25 | Let \( f(x)=a x^{2}+b x+c \). If \( x_{1}, x_{2}, x_{3} \) are thre... |
2023-02-25 | If \( a^{2}+b^{2}+c^{2}=-2 \), and \( A=\left[\begin{array}{ccc}1+a... |
2023-02-25 | A square matrix \( A \) is said to be an idempotent matrix
if \( A^... |
2023-02-25 | Let \( f(x)=a x^{2}+b x+c \). If \( x_{1}, x_{2}, x_{3} \) are thre... |
2023-02-25 | Let \( E=\left[\begin{array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & ... |
2023-02-25 | Let \( f(x)=a x^{2}+b x+c \). If \( x_{1}, x_{2}, x_{3} \) are thre... |
2023-02-25 | Let \( A=\left[\begin{array}{ll}a & b \\ c & d\end{array}\right] \)... |
2023-02-25 | Each question in this section has four choices (a), (b), (c) and (d... |
2023-02-25 | The least number of imaginary roots of the equation
\[
P(x)=x^{9}-x... |
2023-02-25 | Let \( A \) be as in problem 7 and \( B=2 A-I \) where \( I \) is t... |
2023-02-25 | The number of ways of distributing 10 identical objects among 8 per... |
2023-02-25 | The number of real roots of \( x^{3}-3 x+1=0 \) lying in the interv... |
2023-02-25 | Let \( f(x)=a x^{2}+b x+c \). If \( x_{1}, x_{2}, x_{3} \) are thre... |
2023-02-25 | If \( x^{2}+p x+1 \) is a factor of \( a x^{3}+b x+c \), then
(a) \... |
2023-02-25 | Let \( f(x)=a x^{2}+b x+c \) where \( a, b, c \in \mathbf{R} \). Su... |