Let A- x amp-y amp-z- y amp- z amp-x- z amp- x amp-y - where x- y and z are real numbers such that x-y-z gt-0 axyz-2- If A-2-I-3- then the value of x-3-y-3-z-3 is

A=[ x amp;y nbsp; amp;z; nbsp; nbsp;y amp;z nbsp; amp;x; nbsp; nbsp;z amp;x nbsp; amp;y nbsp; ] nbsp; nbsp; nbsp;∴ |A|=(x^3+y^3+z^3 3xyz) ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Distance Formula

Let A=[ ...

Question

Let $A = ⎡ ⎢ ⎣ \begin{matrix} x & y & z y & z & x z & x & y \end{matrix} ⎤ ⎥ ⎦$ , where $x, y$ and $z$ are real numbers such that $x + y + z > 0$ a $x y z = 2$ .
If $A^{2} = I_{3}$ , then the value of $x^{3} + y^{3} + z^{3}$ is

Open in App

Solution

Suggest Corrections

Similar questions

A = ⎡ ⎢ ⎣ \begin{matrix} x & y & z y & z & x z & x & y \end{matrix} ⎤ ⎥ ⎦

x, y

z

x + y + z > 0

x y z = 2

A^{2} = I_{3}

x^{3} + y^{3} + z^{3}

x, y, z

\frac{x}{y} + \frac{y}{z} + \frac{z}{x} = 7

\frac{y}{x} + \frac{z}{y} + \frac{x}{z} = 9

\frac{x^{3}}{y^{3}} + \frac{y^{3}}{z^{3}} + \frac{z^{3}}{x^{3}} - 3

x, y, z

x + y + z = 12

x^{3} y^{4} z^{5} = (0.1) (600)^{3}

x^{3} + y^{3} + z^{3}

x, y, z

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & cos (x - y) & cos (x - z) cos (y - x) & 1 & cos (y - z) cos (z - x) & cos (z - y) & 1 \end{matrix} ⎤ ⎥ ⎦

A

(x, y, z)

z > m a x {\begin{matrix} x, y \end{matrix}} a n d x, y, z \in {\begin{matrix} 1, 2, \dots, n, n + 1 \end{matrix}}

Join BYJU'S Learning Program