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(Solved): MAT 251 Midterm Exam For Problem 1 use row echelon form to transform the augumented matrix. For pro ...
MAT 251 Midterm Exam For Problem 1 use row echelon form to transform the augumented matrix. For problem 2 verify that the coefficient matrix is invertible before computing and solving, if singular, use Gaussian elimination instead. Problem 3 Reduce to RREF Find the solution for the following system
2x_(1)-3x_(2)+4x_(3)=-9
5x_(1)+4x_(2)+3x_(3)=-16
-9x_(1)+2x_(2)-11x_(3)=34By means of the inverse matrix method to solve the following system
x_(1)+x_(2)+x_(3)=-12
2x_(1)+x_(2)+x_(3)=11
3x_(1)+x_(3)=9Find the general solutions
x_(1)-2x_(2)-x_(3)-x_(4)=-2
2x_(2)-3x_(3)-12x_(4)=-3
x_(1)+x_(3)+6x_(4)=2
2x_(2)+2x_(3)+7x_(4)=4