In solving simultaneous equations by Gauss - Jordan method, the coefficient matrix is reduced to
Question
In solving simultaneous equations by Gauss - Jordan method, the coefficient matrix is reduced to
Solution
In the Gauss-Jordan method for solving simultaneous equations, the coefficient matrix is reduced to the identity matrix. The identity matrix is a square matrix in which all the elements of the principal diagonal are ones and all other elements are zeros. The process involves row operations to eliminate coefficients and create this matrix, which then allows for the solutions to the equations to be easily identified.
Similar Questions
In solving simultaneous equations by Gauss - Jordan method, the coefficient matrix is reduced toa)Diagonal Matrixb)Null Matrixc)Square Matrixd)Unit Matrix
Gauss-jordan Method
In the Gauss elimination method for solving a system of linear algebraic equations, triangularization leads toa)Lower triangular matrixb)Diagonal matrixc)Upper triangular matrixd)Singular matrix
se Gauss-Jordan elimination to solve the following linear system.x2 + x3 − 2x4 = −8x1 + 2x2 − x3 − x4 = 22x1 + 4x2 + x3 − 3x4 = −7x1 + 3x2 − 7x3 − x4 = 16
matrix A use Gauss-Jordan eli
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