The system 2x − 3y + z = 1

MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices

Problem

The system 2x − 3y + z = 1, x + 4y − 2z = 6, −x + y + 5z = −2 is to be expressed in matrix form AX = B. Which of the following option lists A, X and B in the correct order? (a) (2−3114−2−115),  (16−2),  (xyz)\begin{pmatrix}2 & -3 & 1 \\ 1 & 4 & -2 \\ -1 & 1 & 5\end{pmatrix},\;\begin{pmatrix}1\\6\\-2\end{pmatrix},\;\begin{pmatrix}x\\y\\z\end{pmatrix} (b) (21−1−3411−25),  (xyz),  (16−2)\begin{pmatrix}2 & 1 & -1 \\ -3 & 4 & 1 \\ 1 & -2 & 5\end{pmatrix},\;\begin{pmatrix}x\\y\\z\end{pmatrix},\;\begin{pmatrix}1\\6\\-2\end{pmatrix} (c) (2−3114−2−115),  (xyz),  (16−2)\begin{pmatrix}2 & -3 & 1 \\ 1 & 4 & -2 \\ -1 & 1 & 5\end{pmatrix},\;\begin{pmatrix}x\\y\\z\end{pmatrix},\;\begin{pmatrix}1\\6\\-2\end{pmatrix} (d) (1−3241−21−15),  (xyz),  (16−2)\begin{pmatrix}1 & -3 & 2 \\ 4 & 1 & -2 \\ 1 & -1 & 5\end{pmatrix},\;\begin{pmatrix}x\\y\\z\end{pmatrix},\;\begin{pmatrix}1\\6\\-2\end{pmatrix}

Related theory

Browse the problem library