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Recent questions tagged matrices-and-determinants

The value of $\theta$ in the first quadrant satisfying the equation $\begin{vmatrix}1+\cos^2\theta&\sin^2\theta&4\sin 4\theta\\\cos^2\theta&1+\sin^2\theta&4\sin4\theta\\\cos^2\theta&\sin^2\theta&1+4\sin 4\theta\end{vmatrix}=0$ is

asked Apr 23, 2014 by sreemathi.v

1 answer

If $\alpha, \beta \neq 0$, and $f(n) = \alpha^n+\beta^n$ and $\begin{vmatrix} 3 & 1+f(1) & 1+f(2)\\ 1+f(1)& 1+f(2) &1+f(3) \\ 1+f(2)&1+f(3) & 1+f(4) \end{vmatrix}$$=K(1-\alpha)^2\;(1-\beta)^2\;(\alpha-\beta)^2$, then $K$ is equal to

asked Apr 6, 2014 by balaji.thirumalai

0 answers

If $A$ is an $3\times 3$ non-singular matrix such that $A A' = A' A$ and $B = A^{-1} A'$, then $B B'$ equals

asked Apr 6, 2014 by balaji.thirumalai

0 answers

Given $A=\begin{bmatrix} 3 & -3 & 4 \\2 & -3 & 4 \\0 & -1 & 1 \end{bmatrix}$ How can we express $A^{-1}$ in terms of A?

asked Jan 29, 2014 by balaji

1 answer

If $A=\begin{bmatrix}2 & sec^{-1}x\\-1 & cosec^{-1} x \end{bmatrix}$ is a singular matrix then find the value of $x$

asked Jan 28, 2014 by rvidyagovindarajan_1

1 answer

Inverse of $\begin{bmatrix}1&2&3\\2&3&4\\3&4&6\end{bmatrix}$ is

asked Nov 21, 2013 by sreemathi.v

1 answer

If A=$\begin{bmatrix}3 & 2\\1 & 1\end{bmatrix}$ find the values of a and b, such that $A^2+aA+bI=0.$

asked Apr 4, 2013 by sreemathi.v

1 answer

If $\;A=\small\frac{1}{\pi}$$\begin{bmatrix}sin^{-1}(\pi x) &tan^{-1}\big(\frac{\pi}{x}\big)\\ sin^{-1}\big(\frac{\pi}{x} \big)&cot^{-1}(\pi x)\end{bmatrix}\;$ and $\;B=\small\frac{1}{\pi} $$\begin{bmatrix}-cos^{-1}(\pi x) &tan^{-1}\big(\frac{x}{\pi}\big)\\ sin^{-1}\big(\frac{x}{\pi} \big)&-tan^{-1}(\pi x)\end{bmatrix}$ then $A-B$ is equal to

asked Mar 10, 2013 by sreemathi.v

1 answer

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