If E, F, G are the following elementary matrices, compute the given matrix expression. E=[1 0 0 0] F=[1 0 0 -4] G=[0 1 0

Question

If E, F, G are the following elementary matrices, compute the given matrix expression.
E=[1   0 0 0]   F=[1 0 0 -4]   G=[0 1 0 0]
     [0 -4 0 0]       [0 1  0 0]         [1 0 0 0]
     [0  0 1 0]        [0 0 1 0]          [0 0 1 0]
     [0  0 0 1]        [0 0 0 1]          [0 0 0 1]
(F⁻¹GE⁻¹G⁻¹)⁻¹=[0 0 0]
                           [0 0 0]
                           [0 0 0]

Kunduz · Accepted Answer

Click to see the answer