Let $x, y$ and $z$ be the per $k g$. prices of onion, wheat and rice respectively. According to given statement, we have following equations, $4 x+3 y+2 z=60$ $2 x+4 y+6 z=90$ $6 x+2 y+3 z=70$ The...
If find A^-1. using A^-1 solve
$A=\left[\begin{array}{llr}2 & -3 & 5 \\ 3 & 2 & -4 \\ 1 & 1 & -2\end{array}\right]$ $|A|=\left|\begin{array}{ccc}2 & -3 & 5 \\ 3 & 2 & -4 \\ 1 & 1 &...
Solve system of linear equations, using matrix method, in
Given set of equations is : $x-y+2 z=7$ $3 x+4 y-5 z=-5$ $2 x-y+3 z=12$ This set of equation in the form of matrix is $A X=B$ $\left[\begin{array}{ccc}1 & -1 & 2 \\ 3 & 4 & -5 \\ 2...
Solve system of linear equations, using matrix method, in
Given set of equations is : $2 x+3 y+3 z=5$ $x-2 y+z=-4$ $3 x-y-2 z=3$ This set of equation in the form of matrix is $A X=B$ $\left[\begin{array}{ccc}2 & 3 & 3 \\ 1 & -2 & 1 \\ 3...
Solve system of linear equations, using matrix method, in and and
Given set of equations is $: x-y+z=4$ and $2 x+y-3 z=0$ and $x+y+z=2$ This set of equation can be written in the form of matrix as $A X=B$ $\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & 1...
Solve system of linear equations, using matrix method, in and and
Given set of equations is $: 2 x+y+z=1$ and $x-2 y-z=3 / 2$ and $3 y-5 z=9$ This set of equation in the form of matrix is $A X=B$ $\left[\begin{array}{ccc}2 & 1 & 1 \\ 1 & -2 & -1 \\...
Solve system of linear equations, using matrix method, in and
Given set of equations is : $5 x+2 y=3$ and $3 x+2 y=5$ This set of equation in the form of matrix is $A X=B$ $\left[\begin{array}{ll}5 & 2 \\ 3 & 2\end{array}\right]\left[\begin{array}{l}x...
Solve system of linear equations, using matrix method, in and
Given set of equations is : $4 x-3 y=3$ and $3 x-5 y=7$ This set of equation in the form of matrix is $A X=B$ $\left[\begin{array}{ll}4 & -3 \\ 3 &...
Solve system of linear equations, using matrix method, in and
Let $A=\left[ {{a}_{ij}} \right]$ be a square matrix of order n. The adjoint of a matrix A is the transporse of the cofactor matrix of A. It is denoted by adj A. Given set of equations is : $2...
Solve system of linear equations, using matrix method, in and
Let $A=\left[ {{a}_{ij}} \right]$ be a square matrix of order n. The adjoint of a matrix A is the transporse of the cofactor matrix of A. It is denoted by adj A. Given set of equations is : $5 x+2...
Examine the consistency of the system of equations in & &
Given set of equations is: $5 x-y+4 z=5 ; 2 x+3 y+5 z=2 ; 5 x-2 y+6 z=-1$ This set of equation in the form of matrix is $A X=B$ $=140-13-76$ $=140-89$ $=51$ $\neq 0$ System of equations is...
Examine the consistency of the system of equations in and
Given set of equations is : $3 x-y-2 z=2 ; 2 y-z=-1$ and $3 x-5 y=3$ This set of equation in the form of matrix is $A X=B$ $|A|=\left|\begin{array}{ccc}3 & -1 & -2 \\ 0 & 2 & -1 \\ 3...
Examine the consistency of the system of equations in and
Given set of equations is $: x+y+z=1 ; 2 x+3 y+2 z=2$ and ax $+a y+2 a z=4$ This set of equationin the form of matrix is $A X=B$ $\left[\begin{array}{lll}1 & 1 & 1 \\ 2 & 3 & 2 \\ a...
Examine the consistency of the system of equations in and
Given set of equations is : $x+3 y$ and $2 x+6 y=8$ This set of equation in the form of matrix is $A X=B$. $\left[\begin{array}{ll}1 & 3 \\ 2 & 6\end{array}\right]\left[\begin{array}{l}x \\...
Examine the consistency of the system of equations in and
Given set of equations is $: 2 x-y=5$ and $x+y=4$ This set of equation in the form of matrix is $A X=B$, where $\mathrm{A}=\left[\begin{array}{cc}2 & -1 \\ 1 & 1\end{array}\right]$ and...
Examine the consistency of the system of equations in and
Given set of equations is : $x+2 y=2$ : and $2 x+3 y=3$ The set of equation in the form of matrix is $A X=B$, where $A=\left[\begin{array}{ll}1 & 2 \\ 2 & 3\end{array}\right]$ and...