If \( A=\left[\begin{array}{cc}4 & 2 \\ -1 & 1\end{array}\right] \) and \( I \) is the identity ...
If \( A=\left[\begin{array}{cc}4 & 2 \\ -1 & 1\end{array}\right] \) and \( I \) is the identity matrix of order 2 , then \( (\mathrm{A}-2 \mathrm{I})(\mathrm{A}-3 \mathrm{I})= \)
(a) I
(b) 0
\( (c)\left[\begin{array}{ll}1 & 0 \\ 0 & 0\end{array}\right] \)
(d) \( \left[\begin{array}{ll}0 & 0 \\ 0 & 1\end{array}\right] \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2023-06-08 | If \( A \) and \( B \) are square matrices of order 3 such that \( |A|=3 \) and \( |B|=2 \), the... |
2023-06-08 | Which of the following statement(s) is/are correct?
(i) Every skew-symmetric matrix is non-inver... |
2023-06-08 | If \( \mathrm{A}_{1}, \mathrm{~A}_{3}, \ldots \ldots \ldots \mathrm{A}_{2 n-1} \) are \( \mathrm... |
2023-06-08 | If \( A=\left[\begin{array}{ccc}1 & 2 & 1 \\ 0 & 1 & -1 \\ 3 & -1 & 1\end{array}\right] \), then... |
2023-06-08 | If \( \mathrm{A}=\operatorname{diag}(2,-1,3), \mathrm{B}=\operatorname{diag}(-1,3,2) \), then \(... |
2023-06-08 | \( \left[\begin{array}{lll}7 & 1 & 2 \\ 9 & 2 & 1\end{array}\right]\left[\begin{array}{l}3 \\ 4 ... |
2023-06-08 | If \( A=\left[\begin{array}{ccc}0 & 1 & -2 \\ -1 & 0 & 5 \\ 2 & -5 & 0\end{array}\right] \), the... |
2023-06-08 | Let \( \mathrm{A}=\left[\begin{array}{c}3 x^{2} \\ 1 \\ 6 x\end{array}\right], \mathrm{B}=[a b c... |
2023-06-08 | If \( \mathrm{A} \) and \( \mathrm{B} \) are \( 3 \times 3 \) matrices such that \( \mathrm{AB}=... |
2023-06-08 | Let \( (x, y) \) be such that
\[
\sin ^{-1}(a x)+\cos ^{-1}(y)+\cos ^{-1}(b x y)=\frac{\pi}{2}
\... |
2023-06-08 | If \( A=\left[\begin{array}{cc}4 & 2 \\ -1 & 1\end{array}\right] \) and \( I \) is the identity ... |
2023-06-08 | Number of integral values of \( K \) for which the system of equations;
\[
\begin{array}{l}
\cos... |
2023-06-08 | If \( A=\left[\begin{array}{ll}x & 1 \\ 1 & 0\end{array}\right] \) and \( \mathrm{A}^{2} \) is t... |
2023-06-08 | If \( M=\left[\begin{array}{ll}1 & 2 \\ 2 & 3\end{array}\right] \) and \( M^{2}-\lambda M-I_{2}=... |
2023-06-08 | If \( A+B=\left[\begin{array}{ll}1 & 0 \\ 1 & 1\end{array}\right] \) and \( A-2 B=\left[\begin{a... |
2023-06-08 | The number of real solutions of \( \tan ^{-1} \sqrt{x(x+1)}+\sin ^{-1} \sqrt{x^{2}+x+1}=\frac{\p... |
2023-06-08 | Solve the following equation for \( x \). \[ \tan ^{-1} 2 x+\tan ^{-1} 3 x=\frac{\pi}{4} \] |
2023-06-08 | Which of the following is/are correct?
(a)
\[
\begin{array}{l}
\cos \left(\cos \left(\cos ^{-1} ... |
2023-06-08 | The number of solutions of the equation \( \cos ^{-1}\left(\frac{1-x^{2}-2 x}{(x+1)^{2}}\right)=... |
2023-06-08 | Considering only the principal values of the inverse trigonometric functions, the value of
\[
\f... |
2023-06-08 | \[
50 \tan \left(3 \tan ^{-1}\left(\frac{1}{2}\right)+2 \cos ^{-1}\left(\frac{1}{\sqrt{5}}\right... |