If - x-y 1 z- 2x-y 0 w - -1 1 2- 0 0 5 - -then find x-y-z-w

Since the order of both the matrices are same, we have x y= 1 2x y=0⇒ y=2x Substitute y=2x in x y= 1 we get x 2x= 1 ⇒ x= 1 or ...

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Byju's Answer

Standard XII

Mathematics

Sum of n Terms

If [ x-y 1...

Question

If $[\begin{matrix} x - y & 1 & z 2 x - y & 0 & w \end{matrix}] = [\begin{matrix} - 1 & 1 & 2 0 & 0 & 5 \end{matrix}]$ ,then find $x + y + z + w$

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Solution

Since the order of both the matrices are same, we have
$x - y = - 1$
$2 x - y = 0 \Rightarrow y = 2 x$
Substitute $y = 2 x$ in $x - y = - 1$ we get
$x - 2 x = - 1$
$\Rightarrow - x = - 1$ or $x = 1$
$\Rightarrow y = 2 x = 2 \times 1 = 2$
$∴ z = z, w = 5$
Hence, $x + y + z + w = 1 + 2 + 2 + 5 = 10$

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If [x−y1z2x−y0w]=[−112005] ,then find x+y+z+w

Since the order of both the matrices are same, we havex−y=−12x−y=0⇒y=2xSubstitute y=2x in x−y=−1 we getx−2x=−1⇒−x=−1 or x=1⇒y=2x=2×1=2∴z=z,w=5Hence,x+y+z+w=1+2+2+5=10

If $[\begin{matrix} x - y & 1 & z 2 x - y & 0 & w \end{matrix}] = [\begin{matrix} - 1 & 1 & 2 0 & 0 & 5 \end{matrix}]$ ,then find $x + y + z + w$