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Recent questions tagged p54

Solve for x and y:\[x\begin{bmatrix}2\\1\end{bmatrix}+y\begin{bmatrix}3\\5\end{bmatrix}+\begin{bmatrix}-8\\-11\end{bmatrix}=0\]

asked Dec 22, 2012 by sreemathi.v

1 answer

Given $A=\begin{bmatrix}2 & 4 & 0\\3 & 9 & 6\end{bmatrix}\;and\;B=\begin{bmatrix}1& 4\\2 & 8\\1 & 3\end{bmatrix}.\;Is \;(AB)'=B'A'?$

asked Dec 22, 2012 by sreemathi.v

1 answer

Show by an example that for $A\neq 0,B\neq 0,AB=0.$

asked Dec 22, 2012 by sreemathi.v

1 answer

If possible,find BA and AB,where\[A=\begin{bmatrix}2 & 1 & 2\\1 & 2 & 4\end{bmatrix},B=\begin{bmatrix}4 & 1\\2 & 3\\1 & 2\end{bmatrix}\]

asked Dec 22, 2012 by sreemathi.v

1 answer

If $A=\begin{bmatrix}3 & -4\\1 & 1\\2 & 0\end{bmatrix}\;and\;B=\begin{bmatrix}2 & 1 & 2\\1 & 2 & 4\end{bmatrix} \;$ then verify that $(BA)^2\neq B^2A^2$

asked Dec 22, 2012 by sreemathi.v

1 answer

Find A,if $\begin{bmatrix}4\\1\\3\end{bmatrix}A=\begin{bmatrix}4 & 8 & 4\\1 & 2 &1\\3 & 6 & 3\end{bmatrix}$

asked Dec 22, 2012 by sreemathi.v

1 answer

Find the matrix A satisfying the matrix equation $\begin{bmatrix}2 & 1\\3 & 2\end{bmatrix}A\begin{bmatrix}3 & 2\\5 & 3\end{bmatrix}=\begin{bmatrix}1 & 0\\0 & 12\end{bmatrix}$

asked Dec 22, 2012 by sreemathi.v

1 answer

Does $A=\begin{bmatrix}5 & 3\\1 & 2\end{bmatrix}$ satisfy the equation $\;A^2-3A-7I=0$ and hence find $\;A^{-1}$

asked Dec 22, 2012 by sreemathi.v

1 answer

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