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Recent questions tagged p58

write applications of superconductors

asked May 12, 2017 by anonymous

1 answer

If AB=BA for any two square matrices,prove by mathematical induction that $(AB)^n=A^nB^n$.

asked Dec 23, 2012 by sreemathi.v

1 answer

If A,B are square matrices of same order and B is a skew-symmetric matrix,show that A'BA is skew symmetric.

asked Dec 23, 2012 by sreemathi.v

1 answer

If A is square matrix such that $A^2=A,$show that $(I+A)^3=7A+I.$

asked Dec 23, 2012 by sreemathi.v

1 answer

If $P(x)=\begin{bmatrix}\cos x & \sin x\\-\sin x & \cos x\end{bmatrix}$,then show that\[P(x).P(y)=P(x+y)=P(y).P(x).\]

asked Dec 23, 2012 by sreemathi.v

1 answer

Find the value of $\alpha$ if $A=\begin{bmatrix}\cos\alpha & \sin\alpha\\-\sin\alpha & \cos\alpha\end{bmatrix}$ and $\;A^{-1}=A'$

asked Dec 23, 2012 by sreemathi.v

1 answer

If the matrix $\begin{bmatrix}0 & a & 3\\2 & b & -1\\c & 1 & 0\end{bmatrix}\;$is a skew symmetric matrix,find the values of a,b and c.

asked Dec 23, 2012 by sreemathi.v

1 answer

If $A=\begin{bmatrix}1 & 2\\4 & 1\end{bmatrix},find\;A^2+2A+7I.$

asked Dec 23, 2012 by sreemathi.v

1 answer

Find the matrix A such that$\begin{bmatrix}2 & -1\\1 & 0\\-3 & 4\end{bmatrix}\;A=\begin{bmatrix}-1 & -8 & -10\\1& -2 & -5\\9 & 22 &15\end{bmatrix}.$

asked Dec 23, 2012 by sreemathi.v

1 answer

Find the values of a,b,c and d,if $3\begin{bmatrix}a & b\\c & d\end{bmatrix}=\begin{bmatrix}a & 6\\-1 & 2d\end{bmatrix}+\begin{bmatrix}4 & a+b\\c+d & 3\end{bmatrix}$

asked Dec 23, 2012 by sreemathi.v

1 answer

If $A=\begin{bmatrix}3 & -5\\-4 & 2\end{bmatrix},$ then find $A^2-5A-14I.$Hence,obtain $A^3$.

asked Dec 23, 2012 by sreemathi.v

1 answer

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