Find the inverse of the matrix using the Gauss Jordan method.
Answer to Problem 10P
The inverse of the matrix is
Explanation of Solution
Given information:
Calculation:
Write the given matrix in augmented matrix form:
Divide the first row by 4.
In the second row, subtract the first row multiplied with 2 from second row.
In the fourth row, subtract the first row multiplied with 3 from fourth row.
Divide the second row by 2.
In the first row, subtract the second row multiplied with
In the third row, subtract the second row multiplied with 4 from third row.
In the fourth row, subtract the second row multiplied with
Divide the third row by –6.
In the first row, subtract the third row from the first row.
In the second row, subtract the third row multiplied with 2 from the second row.
In the fourth row, subtract the third row multiplied with 1 from the fourth row.
Divide the fourth row by
In the first row, subtract the fourth row multiplied with
In the second row, subtract the fourth row multiplied with
In the third row, subtract the fourth row multiplied with
Thus, the inverse of the matrix is
Want to see more full solutions like this?
- find the first four terms of the recursive sequence defined below. a1 = −3, an = a (n − 1) − n. applying polya's technique. with explanation step by step.arrow_forwardDetermine the value of a scalar a if the following three vectors are to lie in the same plane : A = 2i - j + 2k m , B = 6i +3j +ak m and C = 16i + 46j + 7 k m.arrow_forwardExample 2: Find the minors of every element of the following matrices: For part (a): 1 3 -27 A 4 -3 4 -1.arrow_forward
- (c) Find the eigenvalues and eigenvectors of the orthogonal matrix 1 2 2 Y = - 1. -2 2 -2arrow_forwardfind the value of k so that the given DE will become exact. The given Differential equation is (kxy-3x^2)dx + (x^2-2y)dy=0.arrow_forwardSolve the linear system given explicitly or by its augmented matrix using Gauss Jordan Elimination.arrow_forward
- Q: A periodic function F(x) whose definition in one period is: x + 1 - 1< x< 0 f(x) = { x - 1 0arrow_forwardASAParrow_forwardIf n=33 solving the followingarrow_forwardCompute for the value of constant (C) by solving the given DE using integrable combination. Let x=1, y=2 xdy+ydx=1xdxarrow_forwardUse laplace transform to solve the given initial-value problem. Graph your solution on interval (0,8pi); a) y''+y=summation from k=1 to positive infinity of alpha(t-Kpi), y(0)=0,y'(0)=1.arrow_forwardGauss Elimination Method Problems A.) 1. Solve the following system of equations using Gauss elimination method. x + y +z = 9 2x + 5y + 7z = 52 2x + y -z = 0 2. Solve the following linear system using Gaussian elimination method. 4x – 5y = -6 2x – 2y = 1arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios