6. Find the values of x, y and z from the following equations:

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Vishal Baghel | Contributor-Level 10

8 months ago

(i) $[\begin{array}{l} 4 & 3 \\ x & 5 \end{array}] = [\begin{array}{l} y & z \\ 1 & 5 \end{array}]$

corresponding

By equating the elements of the matrices, we get,

x= 1

y= 4

z= 3.

(ii) $[\begin{matrix} x + y & 2 \\ 5 + z & x y \end{matrix}] = [\begin{array}{l} 6 & 2 \\ 5 & 8 \end{array}]$

By equating the corresponding elements of the matrices we get,

x+ y = 6 (I)

5 + Z = 5 $\Rightarrow z = 5 - 5 \Rightarrow z = 0$

xy = 8

$\Rightarrow$ x $= \frac{8}{y}$ $\to(2)$

putting eq $^{n} (2)$ in (1) we get

$\frac{8}{y}$ + y = 6.

$\Rightarrow$ 8 + y² = 6y

$\Rightarrow$ y² 6y + 8 = 0.

$\Rightarrow$ y² - 4y - 2y + 8 = 0

$\Rightarrow$ y (y-4) -2 (y-4) = 0

$\Rightarrow$ (y-4) (y-2) = 0

$\Rightarrow$ y=

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