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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Matrices

NDA 2012 · Mathematics · Matrices

If the sum of matrices [ array l x x y array ],[ array l y y z...

If the sum of matrices \left[xxy\begin{array}{l}x \\ x \\ y\end{array}\right],\left[yyz\begin{array}{l}y \\ y \\ z\end{array}\right] and\left[z00\begin{array}{l}z \\ 0 \\ 0\end{array}\right] is the matrix \left[1055\begin{array}{c}10 \\ 5 \\ 5\end{array}\right], then what is the value of yy ?

Options

  1. A−5-5
  2. B00
  3. C55
  4. D1010

Correct answer

B. 00

Step-by-step solution

x+y+z=10x+y+0=5y+z+0=5\begin{aligned} & x+y+z=10 \\ & x+y+0=5 \\ & y+z+0=5\end{aligned}5+z=10\Rightarrow \quad z=5y+z=5y=5-5=0$.
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