If \( A=\left[a_{i j}\right]_{4} \times 4 \), such that \( a_{i j}=\left\{\begin{array}{ll}2, & ....
If \( A=\left[a_{i j}\right]_{4} \times 4 \), such that \( a_{i j}=\left\{\begin{array}{ll}2, & \text { when } i=j \\ 0, & \text { when } i \neq j\end{array}\right. \),
\( \mathrm{P} \)
then \( \left\{\frac{\operatorname{det}(\operatorname{adj}(\operatorname{adj} A))}{7}\right\} \) is (where \( \{\cdot\} \) represents fractional part function)
(1) \( \frac{1}{7} \)
(2) \( \frac{2}{7} \)
(3) \( \frac{3}{7} \)
(4) None of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2024-01-21 | If \( A \) and \( B \) are squares matrices such that \( A^{2006}=O \)
is \( A B=A+B \). then \(.... |
2024-01-21 | If \( A \) is a matrix such that \( A^{2}+A+2 I=O \), then
which of the following is/are true?.... |
2024-01-21 | Let \( A=\left[\begin{array}{ll}0 & \alpha \\ 0 & 0\end{array}\right] \) and \( (A+I)^{50}-50 A=.... |
2024-01-21 | Matrix \( A \) such that \( A^{2}=2 A-I \), where \( I \) is the
identity matrix, then for \( n .... |
2024-01-21 | The number of solution of the matrix equation
\( X^{2}=\left[\begin{array}{ll}1 & 1 \\ 2 & 3\end.... |
2024-01-21 | Consider three matrices \( A=\left[\begin{array}{ll}2 & 1 \\ 4 & 1\end{array}\right], B=\left[\b.... |
2024-01-21 | If \( A \) is a nonsingular matrix such that \( A A^{T}=A^{T} A \)
and \( B=A^{-1} A^{T} \), the.... |
2024-01-21 | If \( A=\left[\begin{array}{ll}a & b \\ c & d\end{array}\right] \) (where \( b c \neq 0 \) ) sat.... |
2024-01-21 | If \( A \) and \( B \) are square matrices of order \( n \), then
\( A-\lambda I \) and \( B-\la.... |
2024-01-21 | If \( P \) is an orthogonal matrix and \( Q=P A P^{T} \) and
\( \mathrm{x}=P^{T} Q^{1000} P \), .... |
2024-01-21 | If \( A=\left[a_{i j}\right]_{4} \times 4 \), such that \( a_{i j}=\left\{\begin{array}{ll}2, & .... |
2024-01-21 | If \( \mathrm{a}_{1}, \mathrm{a}_{2}, \mathrm{a}_{3}, 5,4, \mathrm{a}_{6}, \mathrm{a}_{7}, \math.... |
2024-01-21 | \( A \) is an involutory matrix given by
\( A=\left[\begin{array}{ccc}0 & 1 & -1 \\ 4 & -3 & 4 \.... |
2024-01-21 | The system of equation
\[
\begin{array}{l}
x+3 y+2 z=6 \\
x+a y+2 z=7 \\
x+3 y+2 z=b
\end{array}.... |
2024-01-21 | If \( n^{\text {th }} \)-order square matrix \( A \) is a orthogonal, then
\( |\operatorname{adj.... |
2024-01-21 | Assertion (A): If every element of a third order determinant of value \( D \) is multiplied by 5.... |
2024-01-21 | Let \( D_{1}=\left|\begin{array}{ccc}a & b & a+b \\ c & d & c+d \\ a & b & a-b\end{array}\right|.... |
2024-01-21 | Let \( A \) be a \( 2 \times 2 \) matrix.
Assertion (A): \( \operatorname{adj}(\operatorname{adj.... |
2024-01-21 | If \( \left|\begin{array}{ccc}x^{n} & x^{n+2} & x^{n+4} \\ y^{n} & y^{n+2} & y^{n+4} \\ z^{n} & .... |
2024-01-21 | Assertion (A): If the matrix \( A=\left[\begin{array}{ccc}1 & 3 & \lambda+2 \\ 2 & 4 & 8 \\ 3 & .... |
2024-01-21 | If the system of linear equations
\[
\begin{array}{l}
(\cos \theta) x+(\sin \theta) y+\cos \thet.... |