Q1.
If \(A\) and \(B\) commute, then coefficient of \(A^4B^2\) in \((A+B)^6\) equals
Q2.
If \(A\) is skew-symmetric of odd order, determinant of \(A\) is
Q3.
If \(A^4=I\) and \(A^2\neq I\), then \((A^2+I)(A^2-I)\) equals
Q4.
Evaluate \(\int\frac{m^2+\tan^{-1}(m^3)}{1+m^6}\,dm\)
Q5.
Evaluate \(\int \sin 5x\,dx\)
Q6.
Evaluate \(\int\sqrt{4-9x^2}\,dx\)
Q7.
Evaluate \(\int x\sqrt{1-x^2}\,dx\)
Q8.
If \(A\) and \(B\) are invertible matrices, then \((ABA^{-1})^{-1}\) equals
Q9.
If \(A\) and \(B\) are commuting matrices satisfying \(A^2-B^2=\text{Zero}\) and \(A+B\) is invertible, then
Q10.
If \(A\) is idempotent matrix, then \((2A-I)^2\) equals