To solve:the givenset of linearequationfor value of variable using matrices and mathematical methodologies.
Answer to Problem 1ES
The value of variable is
Explanation of Solution
Given information:
The given is below set of linear equation:
Calculation:
The given is below set of linear equation:
The given equation is re-written below in matrices form:
This matrix representation is in form of:
Here matrix A represents coefficients of linear equation, matrix B represents the resultant of two equation and matrix
So, the value of variables of linear equation is equal to product of inverse of matrix A and matrix B.
Now it is known that inverse of matrix is equal to adjoint of A divided by determinant of matrix A, as below:
Put value in above formula to find value of A inverse for given linear equation:
Put value A inverse and B in formula for variables, as below:
Hence, the value of variable is
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