Q1.
If \(A\) satisfies \(A^2-8A+16I=\text{Zero}\), then only possible eigenvalue is
Q2.
If \(A\) is idempotent matrix and \(B=I-2A\), then \(B^2\) equals
Q3.
Let \(A\) be a \(3\times3\) matrix such that \(A^2-7A+12I=\text{Zero}\). If \(A\neq4I\) and \(A\neq3I\), then possible eigenvalues of \(A\) are
Q4.
If \(A^2-10A+25I=\text{Zero}\), then only possible eigenvalue of \(A\) is
Q5.
If \(A\) and \(B\) are square matrices satisfying \(AB=BA\), then coefficient of \(A^2B^3\) in expansion of \((A+B)^5\) equals
Q6.
If \(|A|=3\) and order of matrix is \(2\), then \(|2A^{-1}|\) equals
Q7.
If \((A-2I)^2=\text{Zero}\), then only possible eigenvalue of \(A\) is
Q8.
Evaluate \(\int \sin 5x\,dx\)
Q9.
Evaluate \(\int \tan^3x\sec x\,dx\)
Q10.
If \(A^4=\text{Zero}\), then \((I+A)^{-1}\) equals